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In this paper, a new relaxed condition is proposed to deal with H∞ control for nonlinear discrete-time systems that are represented by T-S fuzzy model. The main results are derived based on the nonquadratic Lyapunov function and the non-PDC controller. The new relaxed conditions are expressed in terms of linear matrix inequalities, which can be efficiently solved by software. Finally, illustrative...
In this paper, the H2 guaranteed cost control problem of uncertain continuous T-S fuzzy systems is investigated. We approach this problem by considering the multiple Lyapunov function and utilizing the non-PDC controller. Sufficient conditions for ensuring certain H2 cost as well as asymptotical stability are derived and expressed in terms of LMIs. Unlike existing approaches, the assumption of known...
This paper deals with the stabilization problem for discrete-time nonlinear systems that are represented by the Takagi - Sugeno fuzzy model. By the multiple fuzzy Lyapunov function and the three-index algebraic combination technique, a new stabilization condition is developed. The condition is expressed in the form of linear matrix inequalities (LMIs) and proved to be less conservative than existing...
The tracking control problem of T-S fuzzy systems is solved in the paper. A new method is proposed to improve the existing result. All the designed conditions are expressed in the form of LMIs. Thus they are numerically realizable. From the simulation example, it can be seen that the proposed approach achieves a better tracking performance.
This paper addresses robust H∞ fuzzy static output feedback control problem for T-S fuzzy systems with time-varying norm-bounded uncertainties. Sufficient conditions for synthesis of a fuzzy static output feedback controller for T-S fuzzy systems are derived in terms of a set of linear matrix inequalities (LMIs). In comparison with the existing literatures, the proposed approach not only simplifies...
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