Consider the third-order svstem 0 0 -4.3 1 0 -1.7 0 1 -6.7 x + 0 0 0.35 v = [0 1 0]x +

Chapter 0, Problem CP11.11

(choose chapter or problem)

Consider the third-order svstem 0 0 -4.3 1 0 -1.7 0 1 -6.7 x + 0 0 0.35 v = [0 1 0]x + [01M. (a) Using the acker function, determine a full-state feedback gain matrix and an observer gain matrix to place the closed-loop system poles at s12 = -1.4 /1.4, 4*3 = - 2 and the observer poles at S\2 = 18 ;5, s3 = 20. (b) Construct the state variable compensator using Figure 11.1 as a guide, (c) Simulate the closed-loop system with the state initial conditions x(0) = (1 0 0)T and initial state estimate of x(0) = (0.5 0.1 0.1)7 .

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