Consider a process with the following (forward) transfer function of a unity feedback system: and the controller: G(s)=- 1 (s+1)(s+2)(s+3) Gc(s) = K₁ (s +), ⚫ If the system is designed to satisfy the damping ratio 0.5, use MATLAB to obtain the time constants, T., undamped natural frequencies, con, damped natural frequencies, od, derivative gains, Kd, and proportional gains, Kp, for the values of K/Ka proposed in Table 1. Show the steps of obtaining the values. Use illustrations as much as you can. Fill in the table cells. Briefly discuss the effect of K,/Ka (zero location) on the speed of response. Table 1. System and controller parameters 0.5 1.5 2.5 [6 marks] 3.5 Kp/Kd T On ᎺᎴ . Ka Kp