Consider the system shown below Design a PD controller GCs s

Consider the system shown below. Design a PD controller, G_C(s), such that the maximum overshoot of the system is less than 15%. Determine the gains K_D, K_P. Simulate the response of the system when the reference signal is a unit step function Consider the system shown below. Design a PID controller G_C(s) such that the dominant closed-loop poles are located at s = -1 plusminus 1.5j. For the PID controller shown, choose a = 0.6, and then determine the values of k and b. Use the values of K, a and b to determine the gains K_D, K_P, K_I. Simulate the signal is a unit step function.

Solution

here, mp=15%

after solving we get zeta = 0.4 (approx)

K_p =.5 and k_d=.1