Modern Control Systems 12th Edition solutions

Modern Control Systems 12
A cart of mass m = 1000 kg is attached to a truck using a spring of stiffness k = 20,000 N/m and a damper of constant 6 = 200 Ns/m, as shown in Figure 2.81. The truck moves at a constant acceleration of a = 0.7 m/s2 . FIGURE 2.81 Truck pulling a cart of mass m. The transfer function between the speed

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.

Modern Control Systems 12
Submersibles with clear plastic hulls have the potential to revolutionize underwater leisure. One small submersible vehicle has a depth-control system as illustrated in Figure E4.9. (a) Determine the closed-loop transfer function 7(s) = Y{s)/R(s). (b) Determine the sensitivity Sjjj and S'K. (c) Deter

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 thermostat

Modern Control Systems 12
Effective control of insulin injections can result in better lives for diabetic persons. Automatically controlled insulin injection by means of a pump and a sensor that measures blood sugar can be very effective. A pump and injection system has a feedback control as shown in Figure E5.7. Calculate th

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 s

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.

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

Modern Control Systems 12
A robot includes significant flexibility in the arm members with a heavy load in the gripper [6, 20]. A two-mass model of the robot is shown in Figure. P2.26. Find the transfer function Y(s)IF(s).

Modern Control Systems 12
A laser printer uses a laser beam to print copy rapidly for a computer. The laser is positioned by a control input r(t), so that we have 7(5) - 4(s + 50) s 2 + 30s + 200 R(s). The input r(t) represents the desired position of the laser beam. (a) If r(t) is a unit step input, find the output y(t). (b)

Modern Control Systems 12
A system has the characteristic equation q(s) = s 3 + 4Ks2 + (5 + K)s + 10 = 0. The range of K for a stable system is: a. K > 0.46 b. K < 0.46 c 0 < K < 0.46 d. Unstable for all K

Modern Control Systems 12
The position control system for a spacecraft platform is governed by the following equations: d 2 p dp f + 2-p + 4p = B dt2 dt Vi=r- p - = 06 * V2 = lV\. The variables involved are as follows: r(t) = desired platform position p{t) = actual platform position V\{l) = amplifier input voltage v2(t) = amp

Modern Control Systems 12
Automatic control of helicopters is necessary because, unlike fixed-wing aircraft which possess a fair degree of inherent stability, the helicopter is quite unstable. A helicopter control system that utilizes an automatic control loop plus a pilot stick control is shown in Figure P7.5. When the pilot

Modern Control Systems 12
Determine the transfer function \&(s)/V(s) for the op-amp circuit shown in Figure E2.28 [1]. Let /?j = 167 kfl, R2 = 240 kH, R3 = 1 kH, RA = 100 kH, and C = 1 /iF. Assume an ideal op-amp.

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

Modern Control Systems 12
A large helicopter uses two tandem rotors rotating in opposite directions, as shown in Figure P7.33(a). The controller adjusts the tilt angle of the main rotor and thus the forward motion as shown in Figure DP7.2.The helicopter dynamics are represented by G(s) H) i'2 + 4.5s + 9'

Modern Control Systems 12
The flyball governor is generally agreed to be the first automatic feedback controller used in an industrial process.

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.

Modern Control Systems 12
The Manutec robot has large inertia and arm length resulting in a challenging control problem, as shown in Figure AP10.8(a). The block diagram model 10 s(s+ 1)(5-+ 10) * Y(s) of the system is shown in Figure AP10.8(b).The plant dynamics are represented by 250 G(s) s(s + 2)(s + 40)(5 + 45)' The percen

Modern Control Systems 12
Consider the feedback system in Figure E2.13. Compute the transfer functions Y(s)/Td(s) and Y(s)/N(s).