The flyball governor is generally agreed to be the first automatic feedback controller used in an industrial process.
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Textbook Solutions for Modern Control Systems
Question
Many luxury automobiles have thermostatically controlled air-conditioning systems for the comfort of the passengers. Sketch a block diagram of an airconditioning system where the driver sets the desired interior temperature on a dashboard panel. Identify the function of each element of the thermostatically controlled cooling system.
Solution
Block Diagram:
Air Conditioning System
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Dashboard Panel
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Thermostat Controller
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Compressor Control Valve
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Compressor
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Condenser
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Evaporator
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full solution
Many luxury automobiles have thermostatically controlled air-conditioning systems for
Chapter 1 textbook questions
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Chapter 0: Problem 1 Modern Control Systems 12
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Chapter 0: Problem 2 Modern Control Systems 12
A closed-loop control system uses a measurement of the output and feedback of the signal to compare it with the desired input.
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Chapter 0: Problem 3 Modern Control Systems 12
Engineering synthesis and engineering analysis are the same.
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Chapter 0: Problem 4 Modern Control Systems 12
The block diagram in Figure 1.31 is an example of a closed-loop feedback system. True or False Control device R(s) + . . Actuator Actuator Proces Process s >'(*)
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Chapter 0: Problem 5 Modern Control Systems 12
A multivariate system is a system with more than one input and/or more than one output.
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Chapter 0: Problem 6 Modern Control Systems 12
Early applications of feedback control include which of the following? a. Water clock of Ktesibios b. Watt's flyball governor c. Drebbel's temperature regulator d. All of the above
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Chapter 0: Problem 7 Modern Control Systems 12
Important modern applications of control systems include which of the following? a. Fuel-efficient and safe automobiles b. Autonomous robots c. Automated manufacturing d. All of the above
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Chapter 0: Problem 8 Modern Control Systems 12
Complete the following sentence: Control of an industrial process by automatic rather than manual means is often called a. negative feedback b. automation c a design gap d. a specification
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Chapter 0: Problem 9 Modern Control Systems 12
Complete the following sentence: are intrinsic in the progression from an initial concept to the final product. a. Closed-loop feedback systems b. Flyball governors c. Design gaps d. Open-loop control systems
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Chapter 0: Problem 10 Modern Control Systems 12
Complete the following sentence: Control engineers are concerned with understanding and controlling segments of their environments, often called . a. systems b. design synthesis c. trade-offs d. risk
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Chapter 0: Problem 11 Modern Control Systems 12
Early pioneers in the development of systems and control theory include: a. H. Nyquist b. H.W.Bode c. H.S. Black d. All of the above
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Chapter 0: Problem 12 Modern Control Systems 12
Complete the following sentence: An open-loop control system utilizes an actuating device to control a process . a. without using feedback b. using feedback c. in engineering design d. in engineering synthesis
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Chapter 0: Problem 13 Modern Control Systems 12
A system with more than one input variable or more than one output variable is known by what name? a. Closed-loop feedback system b. Open-loop feedback system c. Multivariable control system d. Robust control system
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Chapter 0: Problem 14 Modern Control Systems 12
Control engineering is applicable to which fields of engineering? a. Mechanical and aerospace b. Electrical and biomedical c Chemical and environmental d. AH of the above
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Chapter 0: Problem 15 Modern Control Systems 12
Closed-loop control systems should have which of the following properties: a. Good regulation against disturbances b. Desirable responses to commands c. Low sensitivity to changes in the plant parameters d. All of the above
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Chapter 0: Problem 16 Modern Control Systems 12
The device, plant, or system under control.
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Chapter 0: Problem 17 Modern Control Systems 12
The output signal is fed back so that it adds to the input signal.
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Chapter 0: Problem 18 Modern Control Systems 12
An interconnection of components forming a system configuration that will provide a desired response.
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Chapter 0: Problem 19 Modern Control Systems 12
The control of a process by automatic means.
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Chapter 0: Problem 20 Modern Control Systems 12
The adjustment of the parameters to achieve the most favorable or advantageous design.
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Chapter 0: Problem 21 Modern Control Systems 12
The process by which new physical configurations are created.
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Chapter 0: Problem 22 Modern Control Systems 12
A mechanical device for controlling the speed of a steam engine.
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Chapter 0: Problem 0 Modern Control Systems 12
Describe typical sensors that can measure each of the following [93]: a. Linear position b. Velocity (or speed) c. Nongravitational acceleration d. Rotational position (or angle) e. Rotational velocity f. Temperature g. Pressure h. Liquid (or gas) flow rate i. Torque j . Force
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Chapter 0: Problem 0 Modern Control Systems 12
Describe typical actuators that can convert the following [93]: a. Fluidic energy to mechanical energy b. Electrical energy to mechanical energy 38 Chapter 1 Introduction to Control Systems Inpul Error Device Sensor /(/) Current Laser - Output Measured variable FIGURE E1.3 Partial block diagram of an optical source. c. Mechanical deformation to electrical energy d. Chemical energy to kinetic energy
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Chapter 0: Problem 0 Modern Control Systems 12
A precise optical signal source can control the output power level to within 1 percent [32]. A laser is controlled by an input current to yield the power output. A microprocessor controls the input current to the laser. The microprocessor compares the desired power level with a measured signal proportional to the laser power output obtained from a sensor. Complete the block diagram representing this closed-loop control system shown in Figure El.3, identifying the output, input, and measured variables and the control device.
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Chapter 0: Problem 0 Modern Control Systems 12
An automobile driver uses a control system to maintain the speed of the car at a prescribed level. Sketch a block diagram to illustrate this feedback system.
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Chapter 0: Problem 0 Modern Control Systems 12
Fly-fishing is a sport that challenges the person to cast a small feathery fly using a light rod and line. The goal is to place the fly accurately and lightly on the distant surface of the stream [59]. Describe the flycasting process and a model of this process.
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Chapter 0: Problem 0 Modern Control Systems 12
An autofocus camera will adjust the distance of the lens from the film by using a beam of infrared or ultrasound to determine the distance to the subject [42]. Sketch a block diagram of this open-loop control system, and briefly explain its operation.
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Chapter 0: Problem 0 Modern Control Systems 12
traveling straight downwind is usually slow, the shortest sailing distance is rarely a straight line. Thus sailboats tack upwindthe familiar zigzag courseand jibe downwind. A tactician's decision of when to tack and where to go can determine the outcome of a race. Describe the process of tacking a sailboat as the wind shifts direction. Sketch a block diagram depicting this process.
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Chapter 0: Problem 0 Modern Control Systems 12
Modern automated highways are being implemented around the world. Consider two highway lanes merging into a single lane. Describe a feedback control system carried on the automobile trailing the lead automobile that ensures that the vehicles merge with a prescribed gap between the two vehicles.
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Chapter 0: Problem 0 Modern Control Systems 12
Describe the block diagram of the speed control system of a motorcycle with a human driver.
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Chapter 0: Problem 0 Modern Control Systems 12
Describe the process of human biofeedback used to regulate factors such as pain or body temperature. Biofeedback is a technique whereby a human can, with some success, consciously regulate pulse, reaction to pain, and body temperature.
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Chapter 0: Problem 0 Modern Control Systems 12
Future advanced commercial aircraft will be Eenabled. This will allow the aircraft to take advantage of continuing improvements in computer power and network growth. Aircraft can continuously communicate their location, speed, and critical health parameters to ground controllers, and gather and transmit local meteorological data. Sketch a block diagram showing how the meteorological data from multiple aircraft can be transmitted to the ground, combined using ground-based powerful networked computers to create an accurate weather situational awareness, and then transmitted back to the aircraft for optimal routing.
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Chapter 0: Problem 0 Modern Control Systems 12
Unmanned aerial vehicles (UAVs) are being developed to operate in the air autonomously for long periods of time (see Section 1.3). By autonomous, we mean that there is no interaction with human ground controllers. Sketch a block diagram of an autonomous UAV that is tasked for crop monitoring using aerial photography.The UAV must photograph and transmit the entire land area by flying a pre-specified trajectory as accurately as possible.
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Chapter 0: Problem 0 Modern Control Systems 12
Consider the inverted pendulum shown in Figure El. 13. Sketch the block diagram of a feedback control m, mass Optical encoder to measure angle ; torque FIGURE E1.13 Inverted pendulum control. Problems 39 system using Figure 1.3 as the model. Identify the process, sensor, actuator, and controller. The objective is keep the pendulum in the upright position, that is to keep 6 = 0, in the presence of disturbances.
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Chapter 0: Problem 0 Modern Control Systems 12
Describe the block diagram of a person playing a video game. Suppose that the input device is a joystick and the game is being played on a desktop computer. Use Figure 1.3 as a model of the block diagram.
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Chapter 0: Problem 0 Modern Control Systems 12
Many luxury automobiles have thermostatically controlled air-conditioning systems for the comfort of the passengers. Sketch a block diagram of an airconditioning system where the driver sets the desired interior temperature on a dashboard panel. Identify the function of each element of the thermostatically controlled cooling system.
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Chapter 0: Problem 0 Modern Control Systems 12
In the past, control systems used a human operator as part of a closed-loop control system. Sketch the block diagram of the valve control system shown in Figure PI.2.
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Chapter 0: Problem 0 Modern Control Systems 12
In a chemical process control system, it is valuable to control the chemical composition of the product. To do so, a measurement of the composition can be obtained by using an infrared stream analyzer, as shown in Figure PI.3. The valve on the additive stream may be controlled. Complete the control feedback loop, and sketch a block diagram describing the operation of the control loop.
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Chapter 0: Problem 0 Modern Control Systems 12
The accurate control of a nuclear reactor is important for power system generators. Assuming the number of neutrons present is proportional to the power level, an ionization chamber is used to measure the power level. The current i is proportional to the power level. The position of the graphite control rods moderates the power level. Complete the control system of the nuclear reactor shown in Figure PI.4 and sketch the block diagram describing the operation of the feedback control loop.
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Chapter 0: Problem 0 Modern Control Systems 12
A light-seeking control system, used to track the sun, is shown in Figure PL5. The output shaft, driven by the motor through a worm reduction gear, has a bracket attached on which are mounted two photocells. Complete the closed-loop system so that the system follows the light source.
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Chapter 0: Problem 0 Modern Control Systems 12
Feedback systems do not always involve negative feedback. Economic inflation, which is evidenced by continually rising prices, is a positive feedback system. A positive feedback control system, as shown in Figure PI .6, adds the feedback signal to the input signal, and the resulting signal is used as the input to the process. A simple model of the price-wage inflationary spiral is shown in Figure PI.6. Add additional feedback loops, such as legislative control or control of the tax rate, to stabilize the system. It is assumed that an increase in workers' salaries, after some time delay, results in an increase in prices. Under what conditions could prices be stabilized by falsifying or delaying the availability of cost-of-living data? How would a national wage and price economic guideline program affect the feedback system?
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Chapter 0: Problem 0 Modern Control Systems 12
The story is told about the sergeant who stopped at the jewelry store every morning at nine o'clock and compared and reset his watch with the chronometer in the window. Finally, one day the sergeant went into the store and complimented the owner on the accuracy of the chronometer. "Is it set according to time signals from Arlington?" asked the sergeant. "No," said the owner, "I set it by the five o'clock cannon fired from the fort each afternoon. Tell me, Sergeant, why do you stop every day and check your watch?" The sergeant replied, "I'm the gunner at the fort!" Is the feedback prevalent in this case positive or negative? The jeweler's chronometer loses two minutes each 24-hour period and the sergeant's watch loses three minutes during each eight hours. What is the net time error of the cannon at the fort after 12 days?
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Chapter 0: Problem 0 Modern Control Systems 12
The student-teacher learning process is inherently a feedback process intended to reduce the system error to a minimum. With the aid of Figure 1.3, construct a feedback model of the learning process and identify each block of the system.
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Chapter 0: Problem 0 Modern Control Systems 12
Models of physiological control systems are valuable aids to the medical profession. A model of the heart-rate control system is shown in Figure PI.9 [23,24,48]. This model includes the processing of the nerve signals by the brain. The heart-rate control Stretuh lungs ill frequency V z Nerve frequency Medulla, brain Pressure receptors Nerve frequency ir >' Pre ssure Heart Vascular system X * Heart rate FIGURE P1.9 Heart-rate control. Problems 41 system is, in fact, a multivariate system, and the variables x, v, w, v, Z, and u are vector variables. In other words, the variable x represents many heart variables .rj, x2,. , x. Examine the model of the heart-rate control system and add or delete blocks, if necessary. Determine a control system model of one of the following physiological control systems: 1. Respiratory control system 2. Adrenaline control system 3. Human arm control system 4. Eye control system 5. Pancreas and the blood-sugar-level control system 6. Circulatory system
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Chapter 0: Problem 0 Modern Control Systems 12
The role of air traffic control systems is increasing as airplane traffic increases at busy airports. Engineers are developing air traffic control systems and collision avoidance systems using the Global Positioning System (GPS) navigation satellites [34, 55]. GPS allows each aircraft to know its position in the airspace landing corridor very precisely. Sketch a block diagram depicting how an air traffic controller might use GPS for aircraft collision avoidance.
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Chapter 0: Problem 0 Modern Control Systems 12
Automatic control of water level using a float level was used in the Middle East for a water clock [1,11]. The water clock (Figure PI.11) was used from sometime before Christ until the 17th century. Discuss the operation of the water clock, and establish how the float provides a feedback control that maintains the accuracy of the clock. Sketch a block diagram of the feedback system.
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Chapter 0: Problem 0 Modern Control Systems 12
An automatic turning gear for windmills was invented by Meikle in about 1750 [1, 11]. The fantail gear shown in Figure PI. 12 automatically turns the windmill into the wind. The fantail windmill at right angle to the mainsail is used to turn the turret. The gear ratio is of the order of 3000 to 1. Discuss the operation of the windmill, and establish the feedback operation that maintains the main sails into the wind.
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Chapter 0: Problem 0 Modern Control Systems 12
A common example of a two-input control system is a home shower with separate valves for hot and cold water. The objective is to obtain (1) a desired temperature of the shower water and (2) a desired flow of water. Sketch a block diagram of the closed-loop control system.
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Chapter 0: Problem 0 Modern Control Systems 12
Adam Smith (1723-1790) discussed the issue of free competition between the participants of an economy in his book Wealth of Nations. It may be said that Smith employed social feedback mechanisms to explain his theories [41]. Smith suggests that (1) the available workers as a whole compare the various possible employments and enter that one offering the greatest rewards, and (2) in any employment the rewards diminish as the number of competing workers rises. Let r = total of rewards averaged over all trades, c = total of rewards in a particular trade, and q = influx of workers into the specific trade. Sketch a feedback system to represent this system.
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Chapter 0: Problem 0 Modern Control Systems 12
Small computers are used in automobiles to control emissions and obtain improved gas mileage. A computer-controlled fuel injection system that automatically adjusts the fuel-air mixture ratio could improve gas mileage and reduce unwanted polluting emissions significantly. Sketch a block diagram for such a system for an automobile.
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Chapter 0: Problem 0 Modern Control Systems 12
All humans have experienced a fever associated with an illness. A fever is related to the changing of the control input in the body's thermostat. This thermostat, within the brain, normally regulates temperature near 98F in spite of external temperatures ranging from 0 to 100F or more. For a fever, the input, or desired, temperature is increased. Even to many scientists, it often comes as a surprise to learn that fever does not indicate something wrong with body temperature control but rather well-contrived regulation at an elevated level of desired input. Sketch a block diagram of the temperature control system and explain how aspirin will lower a fever.
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Chapter 0: Problem 0 Modern Control Systems 12
Baseball players use feedback to judge a fly ball and to hit a pitch [35]. Describe a method used by a batter to judge the location of a pitch so that he can have the bat in the proper position to hit the ball.
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Chapter 0: Problem 0 Modern Control Systems 12
A cutaway view of a commonly used pressure regulator is shown in Figure PI. 18.The desired pressure is set by turning a calibrated screw. This compresses the spring and sets up a force that opposes the upward motion of the diaphragm. The bottom side of the diaphragm is exposed to the water pressure that is to be controlled/Thus the motion of the diaphragm is an indication of the pressure difference between the desired and the actual pressures. It acts like a comparator. The valve is connected to the diaphragm and moves according to the pressure difference until it reaches a position in which the difference is zero. Sketch a block diagram showing the control system with the output pressure as the regulated variable.
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Chapter 0: Problem 0 Modern Control Systems 12
Ichiro Masaki of General Motors has patented a system that automatically adjusts a car's speed to keep a safe distance from vehicles in front. Using a video camera, the system detects and stores a reference image of the car in front. It then compares this image with a stream of incoming live images as the two cars move down the highway and calculates the distance. Masaki suggests that the system could control steering as well as speed, allowing drivers to lock on to the car ahead and get a "computerized tow." Sketch a block diagram for the control system.
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Chapter 0: Problem 0 Modern Control Systems 12
A high-performance race car with an adjustable wing (airfoil) is shown in Figure PI.20. Develop a block diagram describing the ability of the airfoil to keep a constant road adhesion between the car's tires and the race track surface. Why is it important to maintain good road adhesion?
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Chapter 0: Problem 0 Modern Control Systems 12
The potential of employing two or more helicopters for transporting payloads that are too heavy for a single helicopter is a well-addressed issue in the civil and military rotorcraft design arenas [37]. Overall requirements can be satisfied more efficiently with a smaller aircraft by using multilift for infrequent peak demands. Hence the principal motivation for using multilift can be attributed to the promise of obtaining increased productivity without having to manufacture larger and more expensive helicopters. A specific case of a multilift arrangement, where two helicopters jointly transport payloads has been named twin lift. Figure P1.21
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Chapter 0: Problem 0 Modern Control Systems 12
Engineers want to design a control system that will allow a building or other structure to react to the force of an earthquake much as a human would. The structure would yield to the force, but only so much, before developing strength to push back [47]. Develop a block diagram of a control system to reduce the effect of an earthquake force.
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Chapter 0: Problem 0 Modern Control Systems 12
Engineers at the Science University of Tokyo are developing a robot with a humanlike face [52]. The robot can display facial expressions, so that it can work cooperatively with human workers. Sketch a block diagram for a facial expression control system of your own design.
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Chapter 0: Problem 0 Modern Control Systems 12
An innovation for an intermittent automobile windshield wiper is the concept of adjusting its wiping cycle according to the intensity of the rain [54]. Sketch a block diagram of the wiper control system.
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Chapter 0: Problem 0 Modern Control Systems 12
In the past 40 years, over 20,000 metric tons of hardware have been placed in Earth's orbit. During the same time span, over 15,000 metric tons of hardware returned to Earth. The objects remaining in Earth's orbit range in size from large operational spacecraft to tiny flecks of paint. There are about 150,000 objects in Earth's orbit 1 cm or larger in size. About 10,000 of the space objects are currently tracked from groundstations on the Earth. Space traffic control [61] is becoming an important issue, especially for commercial satellite companies that plan to "fly" their satellites through orbit altitudes where other satellites are operating, and through areas where high concentrations of space debris may exist. Sketch a block diagram of a space traffic control system that commercial companies might use to keep their satellites safe from collisions while operating in space.
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Chapter 0: Problem 0 Modern Control Systems 12
NASA is developing a compact rover designed to transmit data from the surface of an asteroid back to Earth, as illustrated in Figure PI.26.The rover will use a camera to take panoramic shots of the asteroid surface. The rover can position itself so that the camera can be pointed straight down at the surface or straight up at the sky. Sketch a block diagram illustrating how the microrover can be positioned to point the camera in the desired direction. Assume that the pointing commands are relayed from the Earth to the microrover and that the position of the camera is measured and relayed back to Earth.
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Chapter 0: Problem 0 Modern Control Systems 12
A direct methanol fuel cell is an electrochemical device that converts a methanol water solution to electricity [75]. Like rechargeable batteries, fuel cells directly convert chemicals to energy; they are very often compared to batteries, specifically rechargeable batteries. However, one significant difference between rechargeable batteries and direct methanol fuel cells is that, by adding more methanol water solution, the fuel cells recharge instantly. Sketch a block diagram of the direct methanol fuel cell recharging system that uses feedback (refer to Figure 1.3) to continuously monitor and recharge the fuel cell.
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Chapter 0: Problem 0 Modern Control Systems 12
The development of robotic microsurgery devices will have major implications on delicate eye and brain surgical procedures. The microsurgery devices employ feedback control to reduce the effects of the surgeon's muscle tremors. Precision movements by an articulated robotic arm can greatly help a surgeon by providing a carefully controlled hand. One such device is shown in Figure APl.l. The microsurgical FIGURE AP1.1 Microsurgery robotic manipulator. (Photo courtesy ot NASA.) devices have been evaluated in clinical procedures and are now being commercialized. Sketch a block diagram of the surgical process with a microsurgical device in the loop being operated by a surgeon. Assume that the position of the end-effector on the microsurgical device can be measured and is available for feedback.
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Chapter 0: Problem 0 Modern Control Systems 12
Advanced wind energy systems are being installed in many locations throughout the world as a way for nations to deal with rising fuel prices and energy shortages, and to reduce the negative effects of fossil fuel utilization on the quality of the air (refer to Example 1.2 in Section 1.6). The modern windmill can be viewed as a mechatronic system. Consider Figure 1.18, which illustrates the key elements of mechatronic systems. Using Figure 1.18 as a guide, think about how an advanced wind energy system would be designed as a mechatronic system. List the various components of the wind energy system and associate each component with one of the five elements of a mechatronic system: physical system modeling, signals and systems, computers and logic systems, software and data acquisition, and sensors and actuators.
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Chapter 0: Problem 0 Modern Control Systems 12
Many modern luxury automobiles have an autopark option. This feature will parallel park an automobile without driver intervention. Figure API.3 illustrates the parallel parking scenario. Using Figure 1.3 as a model, sketch a block diagram of the automated parallel parking feedback control system. In your own words, describe the control problem and the challenges facing the designers of the control system.
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Chapter 0: Problem 0 Modern Control Systems 12
Adaptive optics has applications to a wide variety of key control problems, including imaging of the human retina and large-scale, ground-based astronomical observations [98]. In both cases, the approach is to use a wavefront sensor to measure distortions in the incoming light and to actively control and compensate to the errors induced by the distortions. Consider the case of an extremely large ground-based optical telescope, possibly an optical telescope up to 100 meters in diameter. The telescope components include deformable mirrors actuated by micro-electro-mechanical (MEMS) devices and sensors to measure the distortion of the incoming iight as it passes through the turbulent and uncertain atmosphere of Earth. There is at least one major technological barrier to constructing a 100-m optical telescope.The numerical computations associated with the control and compensation of the extremely large optical telescope can be on the order of 1010 calculations each 1.5 ms.To date, this computational power is unachievable. If we assume that the computational capability will ultimately be available, then one can consider the design of a feedback control system that uses the available computational power. We can consider many control issues associated with the large-scale optical telescope. Some of the controls problems that might be considered include controlling the pointing of the main dish, controlling the individual deformable mirrors, and attenuating the deformation of the dish due to changes in outside temperature. Employing Figure 1.3 as a model for the block diagram, describe a closed-loop feedback control system to control one of the deformable mirrors to compensate for the distortions in the incoming light. Figure AP1.4 shows a diagram of the telescope with a single deformable mirror. Suppose that the mirror has an associated MEMS actuator that can be used to vary the orientation. Also, assume that the wavefront sensor and associated algorithms provide the desired configuration of the deformable mirror to the feedback control system.
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Chapter 0: Problem 0 Modern Control Systems 12
he Burj Dubai is the tallest building in the world [94]. The building, shown in Figure API.5, stands at FIGURE AP1.5 The world's tallest building in Dubai. (Photo courtesy of Alamy Images.) over 800 m with more than 160 stories.There are 57 elevators servicing this tallest free-standing structure in the world. Traveling at up to 10 m/s, the elevators have the world's longest travel distance from lowest to highest stop. Describe a closed-loop feedback control system that guides an elevator of a high-rise building to a desired floor while maintaining a reasonable transit time [95]. Remember that high accelerations will make the passengers uncomfortable.
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Chapter 0: Problem 0 Modern Control Systems 12
Control systems are aiding humans in maintaining their homes. The robotic vacuum cleaner depicted in Figure API.6 is an example of a mechatronic system under active control that relies on infrared sensors and microchip technology to navigate around furniture. Describe a closed-loop feedback control system that guides the robotic vacuum cleaner to avoid collisions with obstacles [96].
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Chapter 0: Problem 0 Modern Control Systems 12
Increasingly stringent requirements of modern, rc\ high-precision machinery are placing increasing dev '"YJ mands on slide systems [53]. The typical goal is to accurately control the desired path of the table shown in Figure CDP1.1. Sketch a block diagram model of a feedback system to achieve the desired goal. The table can move in the x direction as shown.
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Chapter 0: Problem 0 Modern Control Systems 12
The road and vehicle noise that invade an automobile's cabin hastens occupant fatigue [60]. Design the block diagram of an "antinoise" feedback system that will reduce the effect of unwanted noises. Indicate the device within each block.
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Chapter 0: Problem 0 Modern Control Systems 12
Many cars are fitted with cruise control that, at the press of a button, automatically maintains a set speed. In this way, the driver can cruise at a speed limit or economic speed without continually checking the speedometer. Design a feedback-control in block diagram form for a cruise control system.
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Chapter 0: Problem 0 Modern Control Systems 12
As part of the automation of a dairy farm, the automation of cow milking is under study [36]. Design a milking machine that can milk cows four or five times a day at the cow's demand. Sketch a block diagram and indicate the devices in each block.
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Chapter 0: Problem 0 Modern Control Systems 12
A large, braced robot arm for welding large structures is shown in Figure DPI.4. Sketch the block diagram of a closed-loop feedback control system for accurately controlling the location of the weld tip.
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Chapter 0: Problem 0 Modern Control Systems 12
Vehicle traction control, which includes antiskid braking and antispin acceleration, can enhance vehicle performance and handling. The objective of this control is to maximize tire traction by preventing locked brakes as well as tire spinning during acceleration. Wheel slip, the difference between the vehicle speed and the wheel speed, is chosen as the controlled variable because of its strong influence on the tractive force between the lire and the road [19]. The adhesion coefficient between the wheel and the road reaches a Design Problems FIGURE DP1.4 Robot welder. maximum at a low slip. Develop a block diagram model of one wheel of a traction control system.
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Chapter 0: Problem 0 Modern Control Systems 12
The Hubble space telescope was repaired and modified in space on several occasions [44, 46, 49]. One challenging problem with controlling the Hubble is damping the jitter that vibrates the spacecraft each time it passes into or out of the Earth's shadow. The worst vibration has a period of about 20 seconds, or a frequency of 0.05 hertz. Design a feedback system that will reduce the vibrations of the Hubble space telescope.
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Chapter 0: Problem 0 Modern Control Systems 12
A challenging application of control design is the use of nanorobots in medicine. Nanorobots will require onboard computing capability, and very tiny sensors and actuators. Fortunately, advances in biomolecular computing, bio-sensors, and actuators are promising to enable medical nanorobots to emerge within the next decade [98]. Many interesting medical applications will benefit from nanorobotics. For example, one use might be to use the robotic devices to precisely deliver anti-HlV drugs or to combat cancer by targeted delivering of chemotherapy. At the present time, we cannot construct practical nanorobots, but we can consider the control design process that would enable the eventual development and installation of these tiny devices in the medical field. Consider the problem of designing a nanorobot 47 FIGURE DP1.7 An artist illustration of a nanorobot interacting with human blood cells. to deliver a cancer drug to a specific location within the human body. The target site might be the location of a tumor, for example. Using the control design process illustrated in Figure 1.15, suggest one or more control goals that might guide the design process. Recommend the variables that should be controlled and provide a list of reasonable specifications for those
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Chapter 0: Problem 0 Modern Control Systems 12
Consider the human transportation vehicle (HTV) depicted in Figure DP1.8. The self-balancing HTV is actively controlled to allow safe and easy transportation of a single person [97]. Using Figure 1.3 as a model for the block diagram, describe a closed-loop feedback control system to assist the rider of the HTV in balancing and maneuvering the vehicle.
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