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Stabilization of T-S fuzzy fractional rectangular descriptor time-delay system

Author

Listed:
  • Qian Wu
  • Qiankun Song
  • Zhenjiang Zhao
  • Yurong Liu
  • Fuad E. Alsaadi

Abstract

This paper focuses on the stabilization of the T-S fuzzy fractional rectangular descriptor time-delay system. To convert the fuzzy rectangular time-delay system into the fuzzy square time-delay system, a suitable dynamic compensator of proportional and derivative type is constructed, and the admissibility of the resultant square closed-loop system is enough to guarantee the stabilization of the nonlinear rectangular descriptor time-delay system. A sufficient condition is derived to ensure the stabilization for the considered system and the dynamic compensator parameters can be computed by solving the corresponding linear matrix inequalities (LMIs). A numerical example is provided to manifest the theoretical result.

Suggested Citation

  • Qian Wu & Qiankun Song & Zhenjiang Zhao & Yurong Liu & Fuad E. Alsaadi, 2021. "Stabilization of T-S fuzzy fractional rectangular descriptor time-delay system," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(11), pages 2268-2282, August.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2268-2282
    DOI: 10.1080/00207721.2021.1882613
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