Decentralized fuzzy H∞filtering for nonlinear interconnected systems with multiple time delays

  • Authors:

  • Hongbin Zhang;Chuangyin Dang;Jian Zhang

  • 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 ...;Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on gait analysis
  • Year:
  • 2010

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Abstract

In general, due to the interaction among subsystems, it is difficult to design an H∞ filter for nonlinear interconnected systems. This paper introduces a decentralized H∞ fuzzy filter design for nonlinear interconnected systems with multiple time delays via T-S fuzzy models. The T-S fuzzy model consists of N time-delay T-S fuzzy subsystems. The decentralized H∞ filter is designed based on this model, which the asymptotic stability and a prescribed H∞ performance index are guaranteed for the overall filtering error system. A sufficient condition for the existence of such a filter is established by using linear matrix inequalities that are numerically feasible. A simulation example is given to show the effectiveness of this approach.