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Robust H∞ observer-based control of uncertain T-S fuzzy systems with control constraints

This paper addresses the problem of H∞ fuzzy observer-based non-PDC controller design for uncertain T-S fuzzy systems with external disturbances. The synthesis of the observer-based controller is based on a fuzzy Lyapunov function and the descriptor redundancy approach. Moreover, the design is extended for the problem with control constraint. The observer and controller gains are obtained by solving some strict linear matrix inequalities (LMIs). The validity of the proposed method is shown via a numerical example.