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Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems

Author

Listed:
  • Xia, Yude
  • Wang, Jing
  • Meng, Bo
  • Chen, Xiangyong

Abstract

This work focuses on addressing the sampled-data stabilization problem for chaotic nonlinear systems, where the Takagi-Sugeno (T-S) fuzzy model is employed to dispose of the nonlinearity in the system as well as the controller. Contrasted to the traditional control strategy, a more practical piecewise sampled-data controller is developed, where the input delay during the signal transmission is considered. By introducing an approved method for processing fuzzy items and a novel Lyapunov-Krasovskii functional which is inspired by the Wirtinger inequality, as well as an advanced inequality derivation technique, some sufficient conditions with less conservatism are put forward. Appropriate controller gains can be acquired via the solution of the convex optimization problem. At last, the advantages and feasibility of the method proposed are explained by two numerical examples.

Suggested Citation

  • Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320301946
    DOI: 10.1016/j.amc.2020.125225
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    References listed on IDEAS

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