Feedback Control of Dynamic Systems 6th Edition solutions

Feedback Control of Dynamic Systems 6
Consider the continuous rolling mill depicted in Fig. 3.51. Suppose that the motion of the adjustable roller has a damping coefficient b, and that the force exerted by the rolled material on the adjustable roller is proportional to the materials change in thickness: Fs = c(T x). Suppose further that

Feedback Control of Dynamic Systems 6
Consider the satellite-attitude control problem shown in Fig. 4.42 where the normalized parameters are J = 10 spacecraft inertia, Nmsec 2/rad r = reference satellite attitude, rad. Figure 4.42 Satellite attitude control = actual satellite attitude, rad. Hy = 1 sensor scale, factor V/rad. Hr = 1 refe

Feedback Control of Dynamic Systems 6
Automobile manufacturers are contemplating building active suspension systems. The simplest change is to make shock absorbers with a changeable damping, b(u1 ). It is also possible to make a device to be placed in parallel with the springs that has the ability to supply an equal force, u2 , in opposi

Feedback Control of Dynamic Systems 6
Find the range of K for which all the roots of the following polynomial are in the LHP: s 5 + 5s 4 + 10s 3 + 10s 2 + 5s + K = 0. Use MATLAB to verify your answer by plotting the roots of the polynomial in the s-plane for various values of K.

Feedback Control of Dynamic Systems 6
A rotating load is connected to a field-controlled DC motor with negligible field inductance. A test results in the output load reaching a speed of 1 rad/sec within 1/2 sec when a constant input of 100 V is applied to the motor terminals. The output steady-state speed from the same test is found to b

Feedback Control of Dynamic Systems 6
Suppose you are to design a unity feedback controller for a first-order plant depicted in Fig. 3.59. (As you will learn in Chapter 4, the configuration shown is referred to as a proportional-integral controller.) You are to design the controller so that the closed-loop poles lie within the shaded reg

Feedback Control of Dynamic Systems 6
A schematic for the satellite and scientific probe for the Gravity Probe-B (GP-B) experiment that was launched on April 30, 2004 is sketched in Fig. 7.83. Assume that the mass of the spacecraft plus helium tank, m1 , is 2000 kg and the mass of the probe, m2 , is 1000 kg. A rotor will float inside the

Feedback Control of Dynamic Systems 6
For the unity feedback system shown in Fig. 3.58, specify the gain and pole location of the compensator so that the overall closed-loop response to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec. Verify your design using MATLAB. Figure 3.58 Unit

Feedback Control of Dynamic Systems 6
A machine for making paper is diagrammed in Fig. 1.12. There are two main parameters under feedback control: the density of fibers as controlled by the consistency of the thick stock that flows from the headbox onto the wire, and the moisture content of the final product that comes out of the dryers.

Feedback Control of Dynamic Systems 6
A servomechanism position control has the plant transfer function You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: The response to a reference step input is to have no more than 16% overshoot. The re

Feedback Control of Dynamic Systems 6
A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros. The time-domain specifications on the rise time (tr), percent overshoot (Mp ), and settling time (ts) are given by tr 0.6sec, Mp 17%, ts 9.2 sec. (a) Sketch the region in the s-plane where the po

Feedback Control of Dynamic Systems 6
You wish to control the elevation of the satellite-tracking antenna shown in Figs. 3.61 and 3.62. The antenna and drive parts have a moment of inertia J and a damping B; these arise to some extent from bearing and aerodynamic friction, but mostly from the back emf of the DC drive motor. The equations

Feedback Control of Dynamic Systems 6
The normalized, scaled equations of a cart as drawn in Fig. 5.66 of mass mc holding an inverted uniform pendulum of mass mp and length l with no friction are where is a mass ratio bounded by 0 < < 0.75. Time is measured in terms of = o t where . The cart motion y is measured in units of pendulum le

Feedback Control of Dynamic Systems 6
Golden Nugget Airlines has opened a free bar in the tail of their airplanes in an attempt to lure customers. In order to automatically adjust for the sudden weight shift due to passengers rushing to the bar when it first opens, the airline is mechanizing a pitch-attitude autopilot. Figure 5.68 shows

Feedback Control of Dynamic Systems 6
Two feedback systems are shown in Fig. 4.34. (a) Determine values for K1 , K2 , and K3 so that (i) both systems exhibit zero steady-state error to step inputs (that is, both are Type 1), and (ii) their static velocity error constant Kv = 1 when K0 = 1. Figure 4.34 Two feedback systems for Problem 4.1

Feedback Control of Dynamic Systems 6
A linear ODE model of the DC motor with negligible armature inductance (La = 0) and with a disturbance torque w was given earlier in the chapter; it is restated here, in slightly different form, as where m is measured in radians. Dividing through by the coefficient of m, we obtain where With rotating

Feedback Control of Dynamic Systems 6
The open-loop transfer function of a unity feedback system is The desired system response to a step input is specified as peak time tp = 1 sec and overshoot Mp = 5%. (a) Determine whether both specifications can be met simultaneously by selecting the right value of K. (b) Sketch the associated region

Feedback Control of Dynamic Systems 6
Consider the block diagram shown in Fig. 3.52. Note that ai and bi are constants. Compute the transfer function for this system. This special structure is called the control canonical form and will be discussed further in Chapter 7. Figure 3.52 Block diagram for Problem 3.19 3.20 Find the transfer fu

Feedback Control of Dynamic Systems 6
Mixed real and complex poles. Sketch the asymptotes of the Bode plot magnitude and phase for each of the listed open-loop transfer functions. Embellish the asymptote plots with a rough estimate of the transitions for each break point. After completing the hand sketches, verify your result with MATLAB

Feedback Control of Dynamic Systems 6
Modify the equation of motion for the cruise control in Example 2.1, Eq. (2.4), so that it has a control law; that is, let where This is a proportional control law in which the difference between vr and the actual speed is used as a signal to speed the engine up or slow it down. Revise the equations