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A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems

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  • Ting-Ting Gang
  • Jun Yang
  • Qing Gao
  • Yu Zhao
  • Jianbin Qiu

Abstract

This paper investigates the stabilization problem for a class of discrete-time stochastic non-affine nonlinear systems based on T-S fuzzy models. Based on the function approximation capability of a class of stochastic T-S fuzzy models, it is shown that the stabilization problem of a stochastic non-affine nonlinear system can be solved as a robust stabilization problem of the stochastic T-S fuzzy system with the approximation errors as the uncertainty term. By using a class of piecewise dynamic feedback fuzzy controllers and piecewise quadratic Lyapunov functions, robust semiglobal stabilization condition of the stochastic non-affine nonlinear systems is formulated in terms of linear matrix inequalities. A simulation example illustrating the effectiveness of the proposed approach is provided in the end.

Suggested Citation

  • Ting-Ting Gang & Jun Yang & Qing Gao & Yu Zhao & Jianbin Qiu, 2012. "A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-17, December.
    • Handle: RePEc:hin:jnlmpe:439805
    DOI: 10.1155/2012/439805
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