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Robust \(H^{\infty}\) control of an uncertain system via a stable decentralized output feedback controller. (English) Zbl 1158.93328
Summary: This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust \(H^\infty\) control. The proposed procedure involves solving a set of algebraic Riccati equations of the \(H^\infty\) control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust \(H^\infty\) control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.

MSC:
93B36 \(H^\infty\)-control
93E20 Optimal stochastic control
93B50 Synthesis problems
93B35 Sensitivity (robustness)
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