5. Consider the following closed-loop system. r + e y G(s) G,(s) The plant model Gp can be described by the following di

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5 Consider The Following Closed Loop System R E Y G S G S The Plant Model Gp Can Be Described By The Following Di 1 (52.88 KiB) Viewed 30 times

5. Consider the following closed-loop system. r + e y G(s) G,(s) The plant model Gp can be described by the following differential equation: dy dy + +y=1, dt? dt and G(s)= s+z. a. Derive the transfer function of Gp(s). (10 pts) b. If the design requirements are T, 3 4 s, and T, 30.5 s, sketch the desirable closed-loop pole region in the s-plane. (10 pts) c. If the design requirements are Ts < 10s and steady state error ess < 0.1 under unit step reference (for the closed loop system), find the range of z. Neglect the effect of zeros on transient response if there is any. (10 pts).