Decentralized Robust H∞ Output Feedback Control for Value Bounded Uncertain Large-scale Interconnected Systems

For large-scale interconnected systems with value bounded uncertainties existing in the state, control and interconnected matrices, the design of a decentralized robust H_infin output feedback controller is investigated. Based on the bounded real lemma sufficient conditions for the existence of a decentralized robust H_infin controller are obtained in terms of a set of matrix inequalities. According to Schur complement, a homotopy iterative linear matrix inequality method is put forward to construct a decentralized robust H_infin controller by fixing different variables. The controller obtained enables the closed-loop large-scale systems robust stable and satisfies the given H_infin performance. At last a numerical example is given to illustrate the effectiveness of the offered method