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A state-space approach to \(H_{\infty}\)-control problems for infinite- dimensional systems. (English) Zbl 0793.93034

Curtain, R. F. (ed.) et al., Analysis and optimization of systems: state and frequency domain approaches for infinite-dimensional systems. Proceedings of the 10th international conference, Sophia-Antipolis, France, June 9-12, 1992. Berlin: Springer-Verlag. Lect. Notes Control Inf. Sci. 185, 46-71 (1993).
Summary: We consider the regular \(H_ \infty\)-problem with dynamic measurement- feedback for a class of linear infinite-dimensional systems. The results is a complete generalization of the finite-dimensional result: the problem is solvable if and only if two coupled Riccati equations have stabilizing solutions; all sub-optimal controllers can be parametrized in terms of these solutions.
For the entire collection see [Zbl 0771.00025].

MSC:

93B36 \(H^\infty\)-control
93B51 Design techniques (robust design, computer-aided design, etc.)
93B52 Feedback control
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