1) Consider the following unstable open loop system R(s) → Go(s) = (x+2)(n-1) +Y(s) s 1 = - We want to stabilize the sys

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1 Consider The Following Unstable Open Loop System R S Go S X 2 N 1 Y S S 1 We Want To Stabilize The Sys 1 (146.78 KiB) Viewed 18 times

1) Consider the following unstable open loop system R(s) → Go(s) = (x+2)(n-1) +Y(s) s 1 = - We want to stabilize the system by closing the loop via a proportional controller as shown in Figure 1. Note that, the transfer function of the closed-loop system KGO(S) is given by G(s) 1 + KG,(s) A. Compute the range of K that stabilize the system B. For K = 4, Compute the performance characteristics of the closed-loop system: T. (settling time), T,(rise time), Tp (peak time) and OS (over- shoot). C. For K = 10, Compute the performance characteristics of the closed-loop system: T: (settling time), T, (rise time), T, (peak time) and OS. (over- shoot). D. What is the effect of increasing K on the performance characteristics of the system?