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Robust Stability of Uncertain Time-Delay Fuzzy Systems with Saturating Actuator

This paper concerns with robust stability analysis of uncertain T-S fuzzy systems with time-delay in state and input saturation. A sufficient condition for stability of time-delay T-S fuzzy systems subject to actuator saturation is first provided, and the problem of estimating the domain of attraction is also formulated. Based on the stability condition, robust stability of uncertain time-delay T-S fuzzy systems subject to actuator saturation is discussed, and the state feedback gain that maximizes the domain of attraction is designed by solving a optimization problem with LMI constraints. A numeric example is given to show the effectiveness of the proposed results.