Journal of Northeastern University ›› 2007, Vol. 28 ›› Issue (5): 617-619+622.DOI: -

• OriginalPaper • Previous Articles     Next Articles

T-S fuzzy modeling and control for Nadolschi chaotic systems

Zhao, Yan (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-05-15 Published:2013-06-24
  • Contact: Zhao, Y.
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Abstract: The T-S fuzzy models as a new fuzzy modeling method are used to describe accurately the Nadolschi chaotic system whose parameters are given. Then, the parallel distributed compensation (PDC) is applied to the design of a state feedback controller. By using Lyapunov stability theory, the asymptotic stability of the proposed scheme is proved, which turns the interactions between fuzzy sub-systems to full account. The gain matrices of the designed controller can be obtained by solving a set of linear matrix inequalities. Simulation results showed that the designed state feedback controller can control easily the time trajectory of the Nadolschi chaotic system and stabilize it asymptotically so as to get to the zero balance point. The method can also be generalized and extended to the control of other chaotic systems.

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