

PLEASE SHOW ALL IN BETWEEN STEPS
PLEASE SHOW ALL IN BETWEEN STEPS Figure 1: Feedback system. Problem 5. In Fig. I. D(s)=_...
PLEASE SHOW ALL STEPS AND IN BETWEEN STEPS
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Problem 3. In Fig. 1, G(s)- results in a PM (phase margin) of 40° s-K is a constant. Find the value o s(s+4 and Dl
I . (30%) For the system shown in Fig. 3 with Ge K, Gr. 1/[s (s +2), H l + ks, determine the values of K and k such that the system has a damping ratio of 0.7 and undamped natural frequency of 5 rad/sec. Then obtain the settling time in the unit-s response. Controller PlantC Fig. 3 - _ I IFI
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
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Problem 4 A feedback system has the closed-loop transfer function given below. Calculate the percent overshoot, rise time and settling time with a 2% criterion, for the closed-loop response. 2500 Get (s) - s + 15) (s2 +10s+49)
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
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13. Consider the unity feedback system of Figure P9.1 with K G(s) s(s +20)(s +40) The system is operating at 20% overshoot. Design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot and do the following: (Section: 9.3] a. Evaluate the uncompensated system's dominant poles, gain, and settling time. b. Evaluate the compensated system's dominant poles and settling time. c. Evaluate the...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error
K and consider a PI s+4 A unity feedback system has an open loop...
SS10. The unity-feedback system of Figure P11.1 with K (s +4) G (s) (s 2) (s 5) (s +12) is operating with 20% overshoot. [Section: 114] a. Find the settling time. b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.
SS10. The unity-feedback system of Figure P11.1 with...
I8. Consider the unity feedback system of Figure P9.1 with G(s) s +3)(s +5) . Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a.Specify the compensator's pole, zero, and the required gain. R) Cu) FIGURE P9.1