Journal of Guangdong University of Technology ›› 2013, Vol. 30 ›› Issue (1): 68-72.doi: 10.3969/j.issn.1007-7162.2013.01.012

• Comprehensive Studies • Previous Articles     Next Articles

Robust Control of T-S Fuzzy Stochastic System with Time-Delay

Lu Ye,Peng Shi-guo   

  1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2012-05-02 Online:2013-03-30 Published:2013-03-30

Abstract: Based on the T-S model, it researches the problem with delay-dependent robust fuzzy control for stochastic nonlinear systems with parameter uncertainty and timevarying delay. According to theories and approaches of Lyapunov stability, Schur complement lemma,Jensen integral inequality and free weighting matrices and Ito formula, the system controller was designed for all admissible uncertainties by using the PDC method. When the LMIs were feasible, the desired state feedback controller could be constructed. Finally, the numerical example was given to demonstrate the effectiveness of the method.

Key words: fuzzy-stochastic system; robust control; parallel distributed compensation(PDC); linear matrix inequality(LMI); delay-dependent conditions

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