Design of decentralized robust {ie558-1} state feedback controllerstate feedback controller

Abstract

The design of decentralized robust {ie558-2} 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 {ie558-3} 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 {ie558-4} 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.

Keywords

value bounded uncertainty / decentralized control / robust {ie558-5} control / nonlinear matrix inequality / homotopy iterative method