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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...
In this paper, a delay dependent robust fuzzy output feedback control is considered for time-delay chaotic systems with disturbances. Observer based controller is constructed by the T-S fuzzy model. The control algorithm is proposed to guarantee the Hinfin performance of the time-delay chaotic systems. Linear matrix inequality (LMI) method is used to obtain controller and observer gains. To find the...
This paper investigates the problem of delay-dependent robust Hinfin state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. Based on a novel delay and fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust Hinfin controller synthesis are derived in terms of...
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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