论文标题
改进的模糊$ h _ {\ infty} $用于非线性系统的滤波器设计方法随时间变化延迟
Improved Fuzzy $H_{\infty}$ Filter Design Method for Nonlinear Systems with Time-Varing Delay
论文作者
论文摘要
本文研究了由于延时延迟的非线性系统的模糊$ h _ {\ infty} $过滤器设计问题。为了获得较不保守的模糊$ h _ {\ infty} $滤波器设计方法，采用了一种新颖的积分不等式来替换常规的Lebniz-Newton公式，以分析过滤错误系统的稳定性条件。此外，在标准中引入了会员功能的信息，以进一步放大派生结果。提出的延迟依赖过滤器设计方法作为基于LMI的条件表示，并且也给出了模糊$ h _ {\ infty} $滤波器的相应确定表达式。最后，提供了一个模拟示例，以证明设计模糊$ h _ {\ infty} $ filter的有效性和优势。
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.
