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 Hinfin 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_∞ 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_∞ performance. Finally, a numerical example is provided to illustrate the effectiveness and the availability for the design.