A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems. (31st December 2012)

• Record Type: Journal Article
• Authors: Gang, Ting-Ting; Yang, Jun; Gao, Qing; Zhao, Yu; Qiu, Jianbin
• Other Names: Shi Peng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-12-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/439805
• Languages: English
• ISSNs: 1024-123X

Abstract

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.