A PD controller with proportional gain K, and derivative gain Ka is in series with a plant with the transfer function (c) 4 G(s) %3D s + 0.5 and employs a unity negative feedback loop. Find suitable values for K, and Ka so that the closed-loop system has a time constant t = 4 sec, and the closed- loop response to a step input is 0.98. Find the range of K, for which the closed-loop system shown in Figure Q1d is stable. (d) R(s) C(s) K1 s + 8 (s + 1)(s + 5) Figure Qld

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Q: Hi there, I need help with this question for control systems engineering. Thank you.

A: Step 1: Step 2: