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H output feedback control of discrete-time stochastic T-S fuzzy models with state-dependent noise

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3 Author(s)
Hsuan-Heng Lin ; Dept. of Electr. Eng., Chung Hua Univ., Hsinchu, Taiwan ; Bore-Kuen Lee ; Chien-Fong Wu

In this paper, Hinfin dynamic output feedback control for discrete-time nonlinear stochastic T-S fuzzy model with state-dependent noise is attacked. We consider the fuzzy T-S models has has stochastic uncertainties, i.e., state-dependent noise, in the system matrix, input matrix, and output matrix. First, when the premise variables in the fuzzy plant model are available, an Hinfin fuzzy dynamic output feedback controller, which uses the same premise variables as the T-S fuzzy model, is proposed for regulation of the controlled system to meet the Hinfin control performance specification. Next, when the premise variables for building the fuzzy plant model are not available, a fuzzy Hinfin observer-based state feedback controller, in which the premise variables are the estimated version of the premise variables in the T-S fuzzy model, is proposed. For the two cases, we conduct sufficient conditions described by linear matrix inequalities (LMI) to ensure stability of the closed-loop system. Performance of the proposed fuzzy controller is verified by simulation study.

Published in:

Machine Learning and Cybernetics, 2009 International Conference on  (Volume:6 )

Date of Conference:

12-15 July 2009