论文标题
一个新的模糊$ h _ {\ infty} $用于非线性时间延迟系统的滤波器设计不匹配的前提成员资格功能
A New Fuzzy $H_{\infty}$ Filter Design for Nonlinear Time-Delay Systems with Mismatched Premise Membership Functions
论文作者
论文摘要
本文关注的是模糊的$ h _ {\ infty} $过滤器设计问题，用于随时间变化的延迟。为了克服使用匹配的前提条件的传统方法的缺点，设计要设计的模糊$ h _ {\ infty} $过滤器，并假定T-S模型模型具有不同的前提成员资格和规则的数量，因此可以实现更大的设计灵活性和强大的不确定性。但是，这样的设计还将使派生的结果保守，为了放松结果，一种新颖的积分不平等，它比从莱布尼兹·纽顿公式中得出的传统不平等程度更紧密，此外，还采用了模糊的lypunov函数，并且还引入了成员功能的信息。所有设计方法均在基于LMI的条件下呈现。最后，给出了两个数值示例，以证明所提出方法的有效性和优越性。
This paper is concerned with the fuzzy $H_{\infty}$ filter design issue for nonlinear systems with time-varying delay. To overcome the shortcomings of the conventional methods with matched preconditions, the fuzzy $H_{\infty}$ filter to be designed and the T-S fuzzy model are assumed to have different premise membership functions and number of rules, thus, greater design flexibility and robustness to uncertainty can be achieved. However, such design will also make the derived results conservative, to relax the result, a novel integral inequality which is tighter than the traditional inequalities derived from the Leibniz-Newton formula is applied, besides, a fuzzy Lypunov function and the information of the membership functions are also introduced. All the design methods are presented in LMI-based conditions. Finally, two numerical examples are given to prove the effectiveness and superiority of the proposed approach.
