Consider the closed-loop control system shown below:-\text { where } C(s)=K D_{c}(s) \text { and } G(s)=\frac{1}{(s+1)\left(\frac{s}{2}+1\right)\left(\frac{s}{5}+1\right)}-The design requirements are given below:-1. Steady-state requirement: K, > 9 (K, is a static position crror constant.)-2. Transient requirement: phase margin > 45 deg-You will need MATLAB to solve the following problems.-Problem 1. (10 points) Assuming D(s) = 1, determiner K such that you can achieve the steady-state requirement. Then, provide the Bode plot of the open-loop with the stability margins (use "margin" command in MATLAB).

Control System(Electrical Engineering)

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