Problem 1. PID control system with a second-order plant and disturbance. System response to unit-step input and disturba

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Problem 1 Pid Control System With A Second Order Plant And Disturbance System Response To Unit Step Input And Disturba 1 (33.51 KiB) Viewed 49 times

Problem 1. PID control system with a second-order plant and disturbance. System response to unit-step input and disturbance. Consider the system illustrated in Figure 1.(30p) a) Obtain C(s) response that includes the input R(s) and the disturbance D(s). b) Calculate a, b and K parameters, such that the response to a step is critically damped in less than 2 seconds. Explain the pole's placement criteria. c) Obtain the steady-state final value Cs for both unit-step inputs R(s) and D(s) using the final value theorem. What can you say about these results? D(s) R(s) 1 C(s) K(as + 1)(bs + 1) s² + 1.2s +3 PID controller Plant G(s) Figure 1.