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Improved finite frequency H_∞ filtering for Takagi-Sugeno fuzzy systems

机译:Takagi-Sugeno模糊系统的改进有限频率H_∞滤波

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This paper investigates the design problem of H _(∞)filtering for discrete nonlinear systems in the Takagi-Sugeno (T-S) form. Our aim is to design a new filter guaranteeing an H _(∞)performance level in specific finite frequency (FF) ranges. Using the well-known generalised Kalman Yakubovich Popov lemma, Finsler's lemma, sufficient conditions for the existence of H _(∞)filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Two examples are given to illustrate the effectiveness and the less conservatism of the proposed approach in comparison with the existing methods.
机译:本文研究了Takagi-Sugeno(T-S)形式的离散非线性系统的H _(∞)滤波设计问题。我们的目的是设计一种新的滤波器,以确保在特定的有限频率(FF)范围内达到H _(∞)性能水平。使用著名的广义Kalman Yakubovich Popov引理,Finsler引理,为不同FF范围的H _(∞)滤波器的存在提出了充分的条件,然后根据解决一组线性矩阵不等式(LMI)进行统一。给出了两个例子,以说明与现有方法相比,该方法的有效性和较低的保守性。

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