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).