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http://dx.doi.org/10.5391/JKIIS.2009.19.6.865

State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model  

Kim, Tae-Kue (창원대학교 전기공학과)
Wang, Fa-Guang (창원대학교 전기공학과)
Park, Seung-Kyu (창원대학교 전기공학과)
Yoon, Tae-Sung (창원대학교 전기공학과)
Ahn, Ho-Kyun (창원대학교 전기공학과)
Kwak, Gun-Pyong (창원대학교 전기공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.6, 2009 , pp. 865-871 More about this Journal
Abstract
In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.
Keywords
discrete-time nonlinear system; T-S fuzzy model; feedback linearization; T-S fuzzy feedback linearization; nonlinear state transformation;
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Times Cited By KSCI : 1  (Citation Analysis)
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