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In this paper, we propose a decentralized variablegain robust controller which achieves not only robust stabilitybut also satisfactory transient behavior for a class of uncertainlarge-scale interconnected systems. For the uncertain large-scaleinterconnected system, the uncertainties and the interactionssatisfy the matching condition. The proposed decentralized robustcontroller consists of a fixed feedback gain controller and avariable gain one determined by a parameter adjustment law. Inthis paper, we show that sufficient conditions for the existenceof the proposed decentralized variable gain robust controller aregiven in terms of LMIs. Finally, a simple numerical example isincluded.

Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties