Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (3): 476-484.doi: 10.3969/j.issn.1004-4132.2010.03.019

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Controlling uncertain fuzzy neutral dynamic systems with Markov jumps

Shuping He1,2 and Fei Liu1,2,*   

  1. 1. Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education,
        Jiangnan University, Wuxi 214122, P. R. China;
    2. Institute of Automation, Jiangnan University, Wuxi 214122, P. R. China
  • Online:2010-06-23 Published:2010-01-03

Abstract:

The robust H∞ control problems for stochastic fuzzy neutral Markov jump systems (MJSs) with parameters uncertainties and multiple time-delays are considered. The delays are respectively considered as constant and time varying, and the uncertain parameters are assumed to be norm bounded. By means of Takagi-Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By selecting the appropriate Lyapunov-Krasovskii functions, the sufficient condition is given such that the uncertain fuzzy neutral MJSs are stochastically stability for all admissible uncertainties and satisfies the given H∞ control index. The stability and H∞ control criteria are formulated in the form of linear matrix inequalities, which can be easily checked in practice. Practical examples illustrate the effectiveness of the developed techniques.