变时滞非线性系统的改进模糊$H_{\infty}$滤波器设计方法
Improved Fuzzy $H_{\infty}$ Filter Design Method for Nonlinear Systems with Time-Varing Delay
摘要：
研究了具有时变时滞的非线性系统的模糊$H_{\infty}$滤波器设计问题。为了得到保守性更小的模糊$H_{\infty}$滤波器设计方法，采用一种新的积分不等式代替传统的Lebniz-Newton公式，分析了滤波误差系统的稳定性条件.此外，在准则中引入了隶属函数的信息，进一步放宽了所得结果。提出了一种基于线性矩阵不等式的时滞相关滤波器设计方法，并给出了相应的模糊$H_{\infty}$滤波器的表达式。最后通过仿真实例验证了所设计的模糊$H_{\infty}$滤波器的有效性和优越性。
英文摘要：
This paper investigates the fuzzy $H_{\infty}$ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy $H_{\infty}$ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy $H_{\infty}$ filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy $H_{\infty}$ filter.
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