Analysis and synthesis of discrete nonlinear passive systems via affine T-S fuzzy models

Authors:
Wen-Jer Chang;Cheung Chieh Ku;Wei Chang
Affiliations:
Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan, Republic of China;Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan, Republic of China;Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan, Republic of China
Venue:
International Journal of Systems Science
Year:
2008

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Abstract

The article considers the analysis and synthesis problem for the discrete nonlinear systems, which are represented by the discrete affine Takagi-Sugeno (T-S) fuzzy models. The state feedback fuzzy controller design methodology is developed to guarantee that the affine T-S fuzzy models achieve Lyapunov stability and strict input passivity. In order to find a suitable fuzzy controller, an Iterative Linear Matrix Inequality (ILMI) algorithm is employed in this article to solve the stability conditions for the closed-loop affine T-S fuzzy models. Finally, the application of the proposed fuzzy controller design methodology is manifested via a numerical example with computer simulations.