Problem 04-01 Homework-04 In the control system shown in the figure Gp and Gc are given as Gp(s)=(2s+3)/(s3+6s2-28s) and Gc=K. a)

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Problem 04-01 Homework-04 In the control system shown in the figure Gp and Gc are given as Gp(s)=(2s+3)/(s3+6s2-28s) and Gc=K. a) Is the system stable for K=100. b) What is the value of the steady-state error for the parabolic input If the control gain is K=80. Problem 04-02 Kuo 6-9. (P.355) The block diagram of the dc-motor control system with tacometer feedback is shown in the figure. Find the range of the tachometer constant Kt so that the system is asymtotically stable. Answer :

Problem 04-03 Thompson (p. 131) Find the tranfer funtion of PID controller for the closed loop system using the Ziegler-Nichols method. Write the MATLAB program for the step response. Answer: Problem 04-04 If the control gain of a closed loop system is greater than 36.8, the system is unstable. In this crital gain, the poles are found as -2.4, ±1.8i, -1±3.6i. Find the tranfer funtion of PI controller for the closed loop system using the Ziegler-Nichols method. Problem 04-05 Consider Example 4.2. Compare the results by plotting the step responses of the closed loop system for P, PI and PID control.