Article

Analysis and synthesis of discrete nonlinear passive systems via affine TS fuzzy models

International Journal of Systems Science (Impact Factor: 1.31). 01/2008; 39(8):809-821. DOI: 10.1080/00207720801902580
Source: DBLP

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.

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May 21, 2014