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ps6_soln

# ps6_soln - EE 482 Problem 27 Problem Set 6 Solutions-10 2...

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0 10 20 30 40 50 60 70 80 90 100 -2 -1 0 1 2 Amplitude Closed-Loop Response Using Full-State Feedback reference input r(k) output y(k) 0 -0.5 0 0.5 1 discrete-time index k x 1 (k) x 2 (k) EE 482 Problem Set 6 Solutions -10- Problem 27: 2. The overshoot in the closed-loop response is due in part to the zero of the open-loop process, z = 0.25, that remains in the transfer function of the closed-loop system. The lower subplot shows that 1 (0) 1 x + ⎛⎞ = ⎜⎟ ⎝⎠ as specified in the problem statement.
EE 482 Problem Set 6 Solutions -11- Problem 27: 3. During the first several sample points the estimated state variables converge to the value of the true state-variables. The rate at which e(k) approaches zero is determined by the eigenvalues of A + LC. While e(k) is large, the closed-loop responses of the system using full-state feedback and full-state feedback with a full-order observer differ. 0 10 20 30 40 50 60 70 80 90 100 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 Amplitude discrete-time index k Closed-Loop Response Using Full-State Feedback/Observer Designs reference input r(k) output y(k) using full-state feedback output y(k) using observer feedback system

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ps6_soln - EE 482 Problem 27 Problem Set 6 Solutions-10 2...

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