Question: A PID controller is to be designed for the following plant that will subsequently be discretized using a sample time of Ts = 0.02 s.

A PID controller is to be designed for the following plant that will subsequently be discretized using a sample time of Ts = 0.02 s. P(s) = 100/s^2 If the design is to be done for a PM=60 deg and BW=15 rad/s. Compute the value of the parameter z for the controller structure C(s) = K(s+z)^2/(s(tau*s+1)) and for the standard choice of tau (use tau is 0.01 this time

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