H∞ Subsystem Pairwise Distributed Control of Uncertain Linear Systems

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Abstract

The purpose of the paper is to present an algorithm of subsystem pairwise distributed control for one class of uncertain linear dynamical system. Regarding the interconnection in each subsystem pair as an unknown input, the control parameter design conditions are derived using an enhanced bounded real lemma, tying together stability of controlled subsystem pair and whole system stability. The validity of the proposed method is demonstrated by numerical example.

Keywords

Uncertain linear systems
state feedback
distributed control
linear matrix inequality
quadratic stability

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The work presented in this paper was supported by VEGA, Grant Agency of Ministry of Education and Academy of Science of Slovak Republic under Grant No. 1/0256/11. This support is very gratefully acknowledged.

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