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Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit

Author

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  • Nallappan Gunasekaran
  • Ramasamy Saravanakumar
  • M. Syed Ali
  • Quanxin Zhu

Abstract

This study deals with the chaotic phenomenon of nonlinear Chua's circuit for power generator systems. Takagi–Sugeno (T–S) fuzzy model of a nonlinear system is established. By constructing a suitable Lyapunov functional, exponential stability conditions are obtained for fuzzy systems. Based on the sampled-data control theory, extreme sensitivity is visualised in the state trajectory depending on the initial conditions and sampled-data fuzzy controllers are designed in the form of linear matrix inequality (LMI). Finally, some numerical simulation results are shown that the sampled-data fuzzy control system adopts a well-designed methodology.

Suggested Citation

  • Nallappan Gunasekaran & Ramasamy Saravanakumar & M. Syed Ali & Quanxin Zhu, 2019. "Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(16), pages 2979-2992, December.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2979-2992
    DOI: 10.1080/00207721.2019.1691753
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