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Question 3: Consider the following closed-loop control system illustrated in Figure 2. T=1 Controller ZOH System r(t) c(t) 1-eT 2 re s+2 D(z) G(s) Figure 2. Closed-loop control system Design a D(z) controller such that 5 = 0.5 and w, = 0.72 e, = 0 z(1-e") Is(s+a)[ (z-1)(z-e*™)' a)Obtain the G(z) transfer function. (Hint: z b)Obtain the D(z) transfer function . (Hint: PI controller) ..... . .........

Question 3: Consider the following closed-loop control system illustrated in Figure 2. T=1 Controller ZOH System r(t) c(t) 1-eT 2 re s+2 D(z) G(s) Figure 2. Closed-loop control system Design a D(z) controller such that 5 = 0.5 and w, = 0.72 e, = 0 z(1-e") Is(s+a)[ (z-1)(z-e*™)' a)Obtain the G(z) transfer function. (Hint: z b)Obtain the D(z) transfer function . (Hint: PI controller) ..... . .........

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Question 3: Consider the following closed-loop control system illustrated in Figure 2. T=1 Controller ZOH System r(t) c(t) +. 1-e 2 S s+2 D(z) G(s) ..... .... .. Figure 2. Closed-loop control system Design a D(z) controller such that 5 = 0.5 and w, = 0.72 e, = 0 z(1-e") 1s(s+a)[ (z-1)(z-e")’ a a)Obtain the G(z) transfer function. (Hint: Z b)Obtain the D(z) transfer function . (Hint: PI controller)
Transcribed Image Text:Question 3: Consider the following closed-loop control system illustrated in Figure 2. T=1 Controller ZOH System r(t) c(t) +. 1-e 2 S s+2 D(z) G(s) ..... .... .. Figure 2. Closed-loop control system Design a D(z) controller such that 5 = 0.5 and w, = 0.72 e, = 0 z(1-e") 1s(s+a)[ (z-1)(z-e")’ a a)Obtain the G(z) transfer function. (Hint: Z b)Obtain the D(z) transfer function . (Hint: PI controller)
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