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Finite-time fuzzy stabilisation and control for nonlinear descriptor systems with non-zero initial state

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  • Zhan Su
  • Qingling Zhang
  • Jun Ai
  • Xin Sun

Abstract

For nonlinear descriptor systems, this paper presents an approach to obtain a fuzzy controller with guaranteed finite-time stability and finite-time boundedness with non-zero initial state, which outperforms some recent work and additionally provides a precision estimation of model approximation. We prove necessary and sufficient conditions of finite-time stability and finite-time boundedness with non-zero initial state for nonlinear descriptor systems. Using Takagi–Sugeno fuzzy dynamic models and proposed sufficient conditions, we define fuzzy sets and use linear matrix inequalities to satisfy differential linear matrix inequalities. A simulation confirms efficiency and precision of the given method.

Suggested Citation

  • Zhan Su & Qingling Zhang & Jun Ai & Xin Sun, 2015. "Finite-time fuzzy stabilisation and control for nonlinear descriptor systems with non-zero initial state," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 364-376, January.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:364-376
    DOI: 10.1080/00207721.2013.783949
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    1. Todd Evans (ed.), 2010. "Nonlinear Dynamics," Books, IntechOpen, number 344.
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