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This paper focuses on the stability and stabilization of polynomial fuzzy systems with time delay. This study is based on a polynomial Lyapunov–Krasovskii functional, and delay-dependent results are described in terms of bilinear sum of squares (SOS) conditions. Two techniques are presented, in this paper, to solve the problem of non-convexity of SOS stability and stabilization conditions for polynomial...
This paper deals with the robust stability and robust stabilization problems for nonlinear systems with time-delay and norm bounded uncertainties which can be represented by Takagi-Sugeno (T-S) uncertain fuzzy model with time-delay. Based on fuzzy weighting-dependent Lyapunov-Krasovski functional approach and the free weighting matrix method, stability sufficient conditions are proposed and then extended...
This paper focuses on H∞ control design problem for T-S fuzzy time-delay systems with actuator saturation. Based on Lyapunov-Krasovskii Functional (LKF) combining the introduction of relaxed matrices, a H∞ controller design method is presented in Linear matrix inequality (LMI) forma. The controller designed is capable to reject the disturbance assumed known and norm bounded. A numerical example is...
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