For Problem 3.5 (and Problem 3.12), let u = K ( – x). Find full state feedback gains, K, so that the roots of the closed-loop characteristic equation are two times the roots of the characteristic equation of the open-loop plant in Problem 3.5. Assuming that only the voltage, v, is measured, find the estimator gains, L, so that the estimator characteristic equation roots are 3 times the closed-loop eigenvalues. Confirm the eigenvalues for both the closed-loop control system and the estimation system.

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