Switching-Type $H_{infty }$ Filter Design for T–S Fuzzy Systems With Unknown or Partially Unknown Membership Functions

Li X-.J.; Yang G-.H.

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Switching-Type $H_{infty }$ Filter Design for T–S Fuzzy Systems With Unknown or Partially Unknown Membership Functions

机译：具有隶属函数或部分隶属函数的TS模糊系统的开关类型$ H_ {infty} $滤波器设计

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摘要

This paper is concerned with the $H_{infty }$ filter design problem for Takagi–Sugeno (T–S) fuzzy systems with unknown or partially unknown membership functions. If the membership functions are allowed to be unknown or partially unknown, then a fuzzy system may describe a wide class of nonlinear systems. However, in this case, the filter design of fuzzy systems, which is based on parallel distributed compensator strategy, is infeasible. To tackle this difficulty, a switching mechanism, which depends on the lower and upper bounds of the unknown membership functions, is introduced to construct the $H_{infty }$ filter with varying gains. Some examples given in the simulation section show that the proposed method can achieve a better disturbance attenuation performance than a simple fixed-gain filter design approach.

机译：本文涉及具有隶属函数或部分隶属函数的Takagi-Sugeno（TS）模糊系统的$ H_ {infty} $滤波器设计问题。如果允许隶属函数是未知的或部分未知的，则模糊系统可以描述一类广泛的非线性系统。然而，在这种情况下，基于并行分布补偿器策略的模糊系统的滤波器设计是不可行的。为了解决这一难题，引入了一种切换机制，该机制取决于未知隶属函数的上下限，以构造具有不同增益的$ H_ {infty} $滤波器。仿真部分给出的一些例子表明，与简单的固定增益滤波器设计方法相比，该方法可以实现更好的干扰衰减性能。

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来源
《Fuzzy Systems, IEEE Transactions on》 |2013年第2期|385-392|共8页
作者
Li X-.J.; Yang G-.H.;
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作者单位

College of Sciences, Northeastern University, Shenyang, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Attenuation; Educational institutions; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Switches; Symmetric matrices; $H_{infty }$ filter; Takagi–Sugeno (T–S) fuzzy systems; membership functions; switching filter;

机译：衰减;教育机构;模糊系统;线性矩阵不等式;非线性系统开关;对称矩阵$ H_ {infty} $过滤器;Takagi-Sugeno（TS）模糊系统;会员职能;开关滤波器;

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Switching-Type $H_{infty }$ Filter Design for T–S Fuzzy Systems With Unknown or Partially Unknown Membership Functions

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