To account for the expenditure of energy and resources, the control signal is often included in the

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To account for the expenditure of energy and resources, the control signal is often included in the performance integral. Then the operation will not involve an unlimited control signal u{t). One suitable performance index, which includes the effect of the magnitude of the control signal, is
.00 (x(1) + Au (t)) đt.

(a) Repeat Problem PI 1.1 for the performance index.
(b) If A = 2, obtain the value of k that minimizes the performance index. Calculate the resulting minimum value of/.

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Modern Control Systems

ISBN: 978-0136024583

12th edition

Authors: Richard C. Dorf, Robert H. Bishop

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