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In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy Hinfin controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically...
Robust stability problem and dissipativeness analysis for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays is studied via Lyapunov stability theory. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of robust dissipative controllers is derived firstly. Then with the help of linear matrix inequality...
The problem of delay-dependent Hinfin control for a class of uncertain T-S fuzzy systems with time delay is studied based on free weighting matrices. First, free weighting matrices are introduced in the derivative of the Lyapunov-Krasovskii functional. Based on Lyapunov stability method, a new delay-dependent robust stability criterion is proposed. The new criterion is less conservative than the exiting...
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