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Questions 14-17: For the control system shown below Design the compensator so that the unit-step response has a settling-time ofless then twe seconds, rise-time of less th 025seconds, and overshoot ofless than 29%1, adion maximum value ofthe actuator signal ) must be kept under five14) Indicate the allowable region of the complex plane for the closed-loop poles 15) Deterine K and a, the answers are nos unique). 16.) Use Matlab to plot the step-response of the control system using your compensator design Indicate the meome -overshot and final value on your plot 17.) Plot the actuator signal 0)wih Madlab indicating the maximum value s+10 Contrel system for Question 14-1 18) Express the damping ratio as a function of the overshoot Questions 19 and 20 Find the transfer function for the following block diagrams using block diagram algebra. Express the answer to 19 s rational function with a monic 19) x6) 20) 2A
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