Design of decentralized robust H_∞state feedback controller

来源期刊：中南大学学报(英文版)2006年第5期

论文作者：谢永芳 桂卫华 蒋朝辉 阳春华

文章页码：558 - 562

Key words：value bounded uncertainty; decentralized control; robust H∞control; nonlinear matrix inequality;homotopy iterative method

Abstract: The design of decentralized robust H∞state feedback controller for large-scale interconnected systems with value bounded uncertainties existing in the state, control input and interconnected matrices was investigated.Based on the bounded real lemma a sufficient condition for the existence of a decentralized robust H∞state feedback controller was derived. This condition is expressed as the feasibility problem of a certain nonlinear matrix inequality.The controller, which makes the closed-loop large-scale system robust stable and satisfies the given H∞performance, is obtained by the offered homotopy iterative linear matrix inequality method. A numerical example is given to demonstrate the effectiveness of the proposed method.