Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (3): 22-26.

• Comprehensive Studies • Previous Articles     Next Articles

Stability Analysis of Discrete T-S Fuzzy Control Systems

  

  1. Faculty of Applied Mathematics，Guangdong University ofTechnology，Guangzhou 51006，China
  • Online:2010-09-25 Published:2010-09-25

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Abstract: Based on piecewise fuzzy Lyapunov function，the properties of fuzzy control systems employing two-over.lapped fuzzy partition inputs are studied，and the notation of maximal overlapped—rule area is also proposed．These new suficient conditions to check the stability of a T-S fuzzy control system are proposed．The conditions require finding a common positive-definite matrix in each maximal overlapped-rule area，which can reduce the conservation and dificulty of former stability analysis approaches．Finally，an example is given to show the approach is effective and advantageous．

Key words: discrete-time T-S fuzzy system；piecewise fuzzy Lyapunov function；fuzzy partition；stability

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