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A new stabilization condition for T-S fuzzy systems via the fuzzy Lyapunov function and the non-PDC controller is proposed in this paper. Unlike the existing literature, the bounds of the time derivatives of membership functions are not required and the BMIs problems do net arise, either. All stability conditions are expressed in the form of linear matrix inequalities (LMIs). We also extend the proposed...
A more relaxed stabilization condition for continuous time T-S fuzzy systems is proposed by using the multiple Lyapunov function and the non-PDC controller. All stability conditions are represented in terms of linear matrix inequalities (LMIs). The proposed approach is simpler and more realizable in dealing the time derivatives of membership functions in comparison with existing results.
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 deals with the observer-based Hinfin control problem for T-S fuzzy systems. By Lyapunov stability and the three index combination technique, a new nonlinear matrix inequality condition for the existence of an observer-based Hinfin controller is derived. To solve controllers with LMI algorithms, a set of LMI conditions which are necessary and sufficient to the derived nonlinear condition...
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