A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems

Ting-Ting Gang, Jun Yang, Qing Gao, Yu Zhao and Jianbin Qiu

Mathematical Problems in Engineering, 2012, vol. 2012, 1-17

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:439805

DOI: 10.1155/2012/439805

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