Question: For KI = 0.001 and Ks = 50, run a frequency analysis of the control system of Problem by
(a) Sketching the root locus and using MATLAB to plot the root locus.
(b) Plotting the polar Bode diagram for ~ > 0.
(c) Plotting the Nyquist diagram using MATLAB and interpreting this diagram for stability in connection with the root locus.
Problem: The mechanical segment of a MEMS is a second-order system with its poles being -2 and -4. A proportional plus derivative controller defined by the constants KP and KI, and a proportional feedback sensor defined by Ks are also connected with the plant in a feedback control system. Determine the values of KP, KI, and Ks that render the system stable, marginally stable, or unstable.