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Dissipative control for Markov jump non-linear stochastic systems based on T–S fuzzy model

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  • Li Sheng
  • Ming Gao
  • Weihai Zhang

Abstract

The dissipative analysis and control problems for a class of Markov jump non-linear stochastic systems (MJNSSs) are investigated. A sufficient condition for the dissipativity of MJNSSs is given in terms of coupled non-linear Hamilton–Jacobi inequalities (HJIs). Generally, it is difficult to solve the coupled HJIs. In this paper, based on T–S fuzzy model, the dissipative analysis and controller design for MJNSSs is proposed via solving a set of linear matrix inequalities (LMIs) instead of HJIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.

Suggested Citation

  • Li Sheng & Ming Gao & Weihai Zhang, 2014. "Dissipative control for Markov jump non-linear stochastic systems based on T–S fuzzy model," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 1213-1224, May.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1213-1224
    DOI: 10.1080/00207721.2012.748103
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    Cited by:

    1. Gao, Ming & Sheng, Li & Zhang, Weihai, 2015. "Stochastic H2/H∞ control of nonlinear systems with time-delay and state-dependent noise," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 429-440.

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