Question: 1. For the following unity feedback system Gc(s) is a PID controller and G(s) is G(s)=1/[s(s+1)(s+0.5)]. a) Draw root locus curve for Kp changes from

1. For the following unity feedback system Gc(s) is a PID controller and G(s) is G(s)=1/[s(s+1)(s+0.5)]. a) Draw root locus curve for Kp changes from zero to infinity when K1=0 and Kd=0. b) Obtain step response for Kp=0.65 by using MATLAB. Evaluate the result. c) Obtain the Kp,K1, and Kd values of PID controller by using the 2nd Ziegler Nichols Method. d) Draw the modified root locus curve and step response. Do you have a good step response? e) How could you improve the performance further? Show on root locus and step response curves

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