103年 - 103 國立中山大學_碩士班招生考試_電機系(乙組)：控制系統#110068

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b. (20%) Suppose that we employ a unity feedback to control the motor anguiar velocity and set the desired angular velocity to 100 rad/s, as shown in Fig. 2. Assume the load torque is constant T_L=0.1. Determine the phase margin of this feedback system. Also estimate the regulation error e(t) in steady state. y do(t)

PROBLEM 2(15%)
Consider a system with the following unit step response y. Determine the poles and zeros of the system.

PROBLEM 3 (15%) Assume the operational amplifier in Fig. 3 is ideal. Show that the transfer function for the circuit can be written in the form

Determine the values of K_P, K_I, K_D.

a. (15%) Determine for the range of real number & the feedback system is stable

b. (15%) Assuming k=0, estimate the amplitude of the steady-state error when the reference input is r(t) = cos(2t).