A dynamic process described by the following transfer function G(s)=5s+10/s^2+2s+10 is to be controlled by a state-variable digital system. Design and simulate with step input, the closed loop discrete time controller that will drive the plant through ZOH if the desired closed-loop system performance should have a settling time of 4 seconds and peak overshoot of 1%. Assume sampling time of T=0.01 seconds. Assume that all CCF state variables are accessible.

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