Question: P2.49 A closed-loop control system is shown in Figure P2.49. (a) Determine the transfer function T1s2 = Y1s2>R1s2. (b) Determine the poles and zeros of

P2.49 A closed-loop control system is shown in Figure P2.49.

(a) Determine the transfer function T1s2 = Y1s2>R1s2.

R(s) 5000 Y(s) s(s+20s +1000) FIGURE P2.49 Unity feedback control system.

(b) Determine the poles and zeros of T1s2.

(c) Use a unit step input, R(s) = 1>s, and obtain the partial fraction expansion for Y1s2 and the value of the residues.

(d) Plot y1t2 and discuss the effect of the real and complex poles of T1s2. Do the complex poles or the real poles dominate the response?
P2.50 A closed-loop control system is shown in Figure P2.50.

(a) Determine the transfer function T1s2 = Y1s2>R1s2.

(b) Determine the poles and zeros of T1s2.

(c) Use a unit step input, R1s2 = 1>s, and obtain the partial fraction expansion for Y1s2 and the value of the residues.

(d) Plot y1t2 and discuss the effect of the real and complex poles of T1s2. Do the complex poles or the real poles dominate the response?

(e) Predict the final value of y1t2 for the unit step input.

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R(s) 5000 Y(s) s(s+20s +1000) FIGURE P2.49 Unity feedback control system.

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