Consider the third-order system

(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 s1,2 = −1.4 ± j1.4, s3 = −2 and the observer poles at s1,2 = −18 ± j5, s3 = −20. (b) Construct the state variable compensator using Figure 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
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