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Practical and finite-time fuzzy adaptive control for nonlinear descriptor systems with uncertainties of unknown bound

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  • Zhan Su
  • Qingling Zhang
  • Jun Ai

Abstract

This article studies the practical stability (PS) and finite-time stability (FTS) for fuzzy descriptor systems with uncertainties of unknown bound. For such nonlinear descriptor systems, novel sufficient conditions of PS and FTS are established. When the descriptor systems follow the proposed theorems, PS and FTS can be obtained alternatively. Meanwhile, with linear matrix inequalities used, we devise practical and finite-time adaptive controllers for fuzzy descriptor systems, partially based on the parallel-distributed compensation (PDC) and non-PDC. Furthermore, numerical examples on feasible region and controllers applied to inverted pendulum model are presented to confirm the efficiency of the proposed approach.

Suggested Citation

  • Zhan Su & Qingling Zhang & Jun Ai, 2013. "Practical and finite-time fuzzy adaptive control for nonlinear descriptor systems with uncertainties of unknown bound," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2223-2233.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2223-2233
    DOI: 10.1080/00207721.2012.687784
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    Cited by:

    1. Xin-Rong Yang & Guo-Ping Liu, 2016. "Admissible consensus for heterogeneous descriptor multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2869-2877, September.
    2. Zhan Su & Jun Ai & Qingling Zhang & Naixue Xiong, 2017. "An improved robust finite-time dissipative control for uncertain fuzzy descriptor systems with disturbance," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1581-1596, June.

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