Please solve with detailed steps (NO MATLAB Solution).Thanks in advance
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Please solve with detailed steps (NO MATLAB Solution).Thanks in advance 13. Consider the unity feedback system...
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...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
3 .0.2) 0(z) ℉.20-1011,. +20s+101)(s+20) 20), the damping ratio for the dominant Problem 2: For a unity feedback system with closed loop poles is to be 0.4, and the settling time is to be 0.5 second for the compensated system. a. b. c. d. Find the coordinates of the dominant poles. Find the location of the compensator zero if the compensator pole is at -15 (lead compensator) Find the required system gain. Compare the performance of the uncompensated and compensated...
Problem (5): . The unity feedback system shown in Figure P9.1 with is operating with 10% overshoot [Section: 9 21 R. Whai is the value of the appropriate static error constant? b. Find the transfer function of a lag network so that the appropriale static error constant equals 4 without appreciably changing he dominant poles of the uncompensated system e. Use MATLAB or any other computer MATLAD progtam to si mulatcthe system o seethe effect of your compensator ML C(F)...
22. For the unity feedback system given in Figure P9.1 with G(S) = 5(+ 5)(s + 11) do the following: [Section: 9.4] a. Find the gain, K, for the uncompensated system to operate with 30% overshoot. b. Find the peak time and K, for the uncompensated system, c. Design a lag-lead compensator to decrease the peak time by a factor of 2, decrease the percent overshoot by a factor of 2, and improve the steady-state error by a factor of...
I need help with this, provide clear answers, please. Thanks in advance. By gain compensation, the following system operates with a 19.3% overshoot when K- 281.69, Design a lead compensator to reduce the percentage overshoot to 10% and reduce the settling time by 1 sec. R(s) C(s) 4 +6)s +8) (c) Fill out the table below. (d) Simulate the step response to validate if the design goal is met. Compensated system with the lead compensator Uncompensated system Overall gain Dominant...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system. 4) 3s points 11. Given the unity...
Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, 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 30%, and a 2% settling time of no more than 0.2 sec. Verify your design using Matlab. 3.27 Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole...
Please show calculations by HAND and NOT MATLAB. The answers are here to help. Thank you Note : Ts= 4/&*wn (&=damping ratio) Skill-Assessment Exercise 9.3 PROBLEM: A unity feedback system with forward transfer function 6) s(s + is operating with a closed-loop step response that has 20% overshoot. Do the following: a. Evaluate the settling time. b. Evaluate the steady-state error for a unit ramp input. c. Design a lag-lead compensator to decrease the settling time by 2 times and...
Design of PID compensator S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and unity feedback Design a PID s+10) An uncompensated system has a gain controller so that the system can operate with a peak time that is two thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. system has a gain Uncompensated system Compensated system K (s+8 G(s) = (s+3)(s+6)(s+10) ,H(s) = 1 20% OS; desired T,-23a...