Question

Please show all work and write neatly so that I can understand.

Problem 4 The state-space equations for the simple pendulum is 0 1 25 02 T2 C2 a) Design a state feedback controller such that the roots of the closed-loop characteristic equation arc at s-41 4j b) Design an estimator that reconstructs the state of the pendulum. Pick the estimator roots to be at s--10 ± 10, (Make sure to provide the dynamics equation of the estimator.) c) Determine the state-space equations of the compensator with combined control law and estima- tor.

All information is given

Answer 1

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