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

In this paper, decentralized robust H∞ output feedback control problem for large-scale interconnected system with value bounded uncertainties in the state, control input and interconnection matrices is investigated. A new bounded real lemma for the large-scale interconnected systems is derived by Lyapunov stability theory and linear matrix inequality method. Based on the new bounded real lemma, a sufficient condition expressed as matrix inequalities for the existence of a decentralized robust H∞ output feedback controller is obtained. The controller which enables the closed-loop large-scale system robust stable and satisfies the given H∞ performance is designed through a homotopy iterative method. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.