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Title: Robust $H^\infty$ control of an uncertain system via a stable decentralized output feedback controller (English)
Author: Petersen, Ian R.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 1
Year: 2009
Pages: 101-120
Summary lang: English
Category: math
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. (English)
Keyword: robust control
Keyword: decentralized control
Keyword: $H^{\infty}$ control
MSC: 93A14
MSC: 93B35
MSC: 93B36
MSC: 93B50
MSC: 93E20
idZBL: Zbl 1158.93328
idMR: MR2489583
Date available: 2010-06-02T18:21:52Z
Last updated: 2012-06-06
Stable URL:
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