A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems
Joint Authors
Gao, Qing
Qiu, Jianbin
Zhao, Yu
Yang, Jun
Gang, Tingting
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gang, Tingting& Yang, Jun& Gao, Qing& Zhao, Yu& Qiu, Jianbin. 2012. A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029583
Modern Language Association (MLA)
Gang, Tingting…[et al.]. A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1029583
American Medical Association (AMA)
Gang, Tingting& Yang, Jun& Gao, Qing& Zhao, Yu& Qiu, Jianbin. A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029583
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029583