A closed-loop feedback system is to be designed to track a reference input. The desired

Chapter 0, Problem DP11.7

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A closed-loop feedback system is to be designed to track a reference input. The desired feedback block diagram is shown in Figure DP11.3.The system model is given by x(f) = Ax(0 + Bu(t) m = cx(/) where A = 0 1 -10_ ,B = "o" 0 1 , C = [1 0 0]. Design the observer and the control law to meet the following specifications: 1. The steady-state error of the closed-loop system to a unit step input is zero. 2. The gain margin G.M. ^ 6 dB. 3. The bandwidth of the closed-loop system coB > lOrad/s. 4. Select initial conditions for x and different initial conditions for x and simulate the response of the closed-loop system to a unit step input. Verify that the tracking error is zero in the steady-state.