Synthesis of decentralized variable gain robust controllers for large-scale interconnected systems with structured uncertainties

In this paper,we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior for a class of uncertain large-scale interconnected systems. for the uncertain large-scale interconnected system,the uncertainties and the interactions satisfy the matching condition. the proposed decentralized robust controller consists of a fixed feedback gain controller and a variable gain one determined by a parameter adjustment law. in this paper,we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller are given in terms of lmis. finally,a simple numerical example is included. © 2014 shunya nagai and hidetoshi oya.