Decentralized H∞ filter design for discrete-time interconnected fuzzy systems

  • Authors:

  • Hongbin Zhang;Chuangyin Dang;Chunguang Li

  • Affiliations:

  • School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, China and Department of Manufacturing Engineering and Engineering Management, City University o ...;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper describes a decentralized H∞ filter design for discrete-time interconnected fuzzy systems based on piecewise-quadratic Lyapunov functions. The systems consist of J discrete-time interconnected Takagi-Sugeno (T-S) fuzzy subsystems, and a decentralized H∞ filter is designed for each subsystem. It is shown that the stability of the overall filtering-error system with H∞ performance can be established if a piecewise-quadratic Lyapunov function can be constructed. Moreover, the parameters of filters can be obtained by solving a set of linear matrix inequalities that are numerically feasible. Two simulation examples are given to show the effectiveness of the proposed approach.