Synthesis of Discrete Nonlinear Passive Systems via Affine T-S Fuzzy Models with Input Energy Constraints

Wen-Jer Chang,Chien-Hsun Huang,Cheung-Chieh Ku

doi:10.1109/icma.2007.4303849

Synthesis of Discrete Nonlinear Passive Systems via Affine T-S Fuzzy Models with Input Energy Constraints

Wen-Jer Chang, Chien-Hsun Huang + Show 1 more

https://doi.org/10.1109/icma.2007.4303849

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Publication Date: Aug 1, 2007

Citations: 12

Affiliation: National Taiwan Ocean University

#Bilinear Matrix Inequality #Iterative Linear Matrix Inequality + Show 8 more

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Abstract

In this paper, a Takagi-Sugeno (T-S) fuzzy controller is designed to deal with input energy constrained control problem for the discrete-time nonlinear passive systems which are presented by affine T-S fuzzy models. The stability conditions developed by Lyapunov theory are characterized as a bilinear matrix inequality (BMI) problem for the synthesis of the discrete-time nonlinear passive affine T-S fuzzy systems. It can not be solved via an optimization algorithm. Thus, an iterative linear matrix inequality (ILMI) algorithm is used to solve this BMI problem in this paper. Finally, a numerical simulation is given to show the applications of the present approach.

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