Abstract
In this paper, we propose a decentralized variable gain robust controller with guaranteed L 2 gain performance for a class of uncertain large-scale interconnected systems with state delays. The proposed decentralized robust controller consists of a fixed gain and a variable gain tuned by parameter adjustment laws. In this paper, it is shown that sufficient conditions for the existence of the proposed decentralized variable gain robust control system are given in terms of LMIs. Finally, a simple illustrative example is shown.
Highlights
In order to design control systems, the derivation of a mathematical model for the controlled system is needed
On the basis of existing results[7], [8], we propose a decentralized variable gain robust controller with guaranteed L2 gain performance for a class of uncertain large-scale interconnected systems with state delays
Notations and useful lemmas which are used in this paper are shown in Section 2, and in Section 3, the class of uncertain largescale interconnected systems with state delays which are considered in this paper is introduced
Summary
In order to design control systems, the derivation of a mathematical model for the controlled system is needed. Nagai and Oya [7] have suggested a decentralized variable gain robust controller which achieves robust stability and satisfactory transient behavior for a class of uncertain large-scale interconnected systems with state delays. A decentralized variable gain robust controller with guaranteed L2 gain performace for a class of uncertain large-scale interconnected systems has been proposed[8]. On the basis of existing results[7], [8], we propose a decentralized variable gain robust controller with guaranteed L2 gain performance for a class of uncertain large-scale interconnected systems with state delays. LMI-based sufficient conditions for the existence of the proposed decentralized variable gain robust controller are derived.
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