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 Hinfin output feedback controller is investigated. Based on the bounded real lemma sufficient conditions for the existence of a decentralized robust Hinfin 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 Hinfin controller by fixing different variables. The controller obtained enables the closed-loop large-scale systems robust stable and satisfies the given Hinfin performance. At last a numerical example is given to illustrate the effectiveness of the offered method