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

Chapter 0, Problem P11.2

(choose chapter or problem)

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 = / ./n {x\t) + \u\t)) dt. (a) Repeat 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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