Given the plant x_ 1 1 0 2 " #x 0 1 " #u; y 1 1 x design

Chapter 12, Problem 30

(choose chapter or problem)

Design an observer for

G(s) = \(\frac{45}{(s+3)(s+5)(s+10)}\)

represented in phase-variable form with a desired performance of 10% overshoot and a settling time of 0.5 second. The observer will be 10 times as fast as the plant, and the observer's non dominant pole will be 10 times as far from the imaginary axis as the observer's dominant poles. Design the observer by first converting to observer canonical form. [Section: 12.7]

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