Question: Consider the closed-loop system shown below: The loop has two proportional controllers. Kc1 and Kc2 (a) For what range of the controller gain K is

Consider the closed-loop system shown below: The loop has two proportional

Consider the closed-loop system shown below: The loop has two proportional controllers. Kc1 and Kc2 (a) For what range of the controller gain K is the inner loop stable? (Hint: Use the characteristic equation only for the inner loop only and check the Routh's criteria for stability). (b) Let the controller gain Kc be 0.2. Calculate the closed-loop transfer function from D to Y. Assuming R= 0. (c) Calculate the range of the controller gain Kc2, that makes the overall closed loop system (Y/D) stable. Use Routh's test again. D R+ 1 2 "pp (S-1) (5s + 1)(8s + 1) Kc1 10 + 16 Finish atte Y

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