KJM 597: Transient Response Analysis

Tutorial 1. Determine the values, of K and k of the closed-loop system shown in Figure Q1 so that

the maximum overshoot in unit-step response is 25 % and the peak time is 2 sec. Assume that J = 1 kg-m2.

Figure Q1

2. Consider the system shown in Figure . The damping ratio of this system is 0.158 and

the undamped natural frequency is 3.16 rad/sec. To improve the relative stability, we employ tachometer feedback. Figure shows such a tachometer-feedback system.

Determine the value of Kh, so that the damping ratio of the system is 0.5. Then obtain the rise time , peak time , maximum overshoot , . and settling time in the unit-step response

strt pt pM

Figure Q2

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KJM 597: Transient Response Analysis

3. Figure 3 is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec and the ratio to be JK / 9

2 rad2/sec2,

Figure Q3

4. Consider the system shown in Figure Q4. Determine the value of k such that the damping ratio ζ is O.5. Then obtain the rise time , peak time , maximum overshoot , . and settling time in the unit-step response.

ptrt

stpM

Figure Q4

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