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

其他申論題

37. 過去幾年來，時髦的咖啡館在臺北接二連三迅速興起；每一家都有自己的獨特風格，值得拜訪。 Over the past few years, trendy cafes have been___________ ___________ one after another in Taipei; with its unique style, each is worth visiting.

38. 我們在網路上無意間發現這個露營地。它是春天賞櫻的最佳地點之一。 We found the campsite ___________ ___________ on the Internet. It is one of the best spots to view cherry blossoms in spring.

a.(20%) Estimate the values of J and B.

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 TL=0.1. Determine the phase margin of this feedback system. Also estimate the regulation error e(t) in steady state. y do(t)

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 KP, KI, KD.

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).

(a) (10%) Find the transfer function of the system.

(b) (10%) Find the zero-input response y(t).

(c) (10%) Choose, among the following types of control, ones that are likely to stabilize the system (One or more answers may be correct. Answers without supporting explanation are not acceptable) : (i) P control (ii) I control (iii) D control (iv) PID control (v) PD control (vi) PI control

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