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Kybernetika 45(1):101-120, 2009.

Robust H^{infty} Control of an Uncertain System via a Stable Decentralized Output Feedback Controller

Ian R. Petersen


Abstract:

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.


Keywords: robust control; decentralized control; $H^\infty$ control;


AMS: 93B36; 93E20; 93B50 ; 93B35;


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BIB TeX

@article{kyb:2009:1:101-120,

author = {Petersen, Ian R.},

title = {Robust H$^{\infty}$ Control of an Uncertain System via a Stable Decentralized Output Feedback Controller},

journal = {Kybernetika},

volume = {45},

year = {2009},

number = {1},

pages = {101-120}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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