Decentralized robust H∞ output feedback control for value bounded uncertain large-scale interconnected systems

The design of decentralized robust H_∞ output feedback controller for the large-scale interconnected systems with value bounded uncertainties in the state, control input and interconnected matrices is investigated. A new bounded real lemma for the large-scale interconnected systems is obtained by Lyapunov stability theory and liner matrix inequality method. Based on the new bounded real lemma a sufficient condition for the existence of a decentralized robust H_∞ output feedback controller is derived. This condition is expressed as the feasibility problem of matrix inequalities. The controller which enables the closed-loop large-scale system robust stable and satisfies the given H_∞ performance is obtained by a homotopy iterative method. At last a numerical example is given to illustrate the effectiveness of the offered method.