Decentralized robust H∞ output feedback control for interconnected large-scale systems with uncertainties

A new bounded real lemma for interconnected large-scale systems is obtained by using Lyapunov stability theory and LMI method. Based on the new bounded real lemma, the problem of decentralized robust H infinity control is investigated via output feedback for interconnected large-scale systems with norm-bounded parameter uncertainties in state, control and interconnected matrices. Sufficient conditions for the existence of a decentralized robust H infinity output feedback controller are obtained in terms of a set of matrix inequalities. The controller is solved iteratively by homotopy method, which enables the closed loop large-scale system robust asymptotically stable and satisfies the given H infinity performance. Finally, a numerical example is provided to illustrate the effectiveness and the availability for the design.