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\(H_{\infty}\)-optimal control with state-feedback. (English) Zbl 0655.93026
One of the questions considered in the theory of minimal sensitivity of linear time-invariant systems is whether it is possible to improve sensitivity by going outside the class of time-invariant controllers. Surprisingly the answers obtained have been negative. This paper considers another such result. The authors consider an \(H_{\infty}\)- optimal control problem where the measured output are the states of the plant and show that sensitivity is not improved by using even nonlinear time-varying state-feedback controllers as opposed to only linear time- invariant ones.
Reviewer: A.Feintuch

MSC:
93B35 Sensitivity (robustness)
30D55 \(H^p\)-classes (MSC2000)
93B28 Operator-theoretic methods
46E15 Banach spaces of continuous, differentiable or analytic functions
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