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Observer-based H fuzzy control design for discrete-time stochastic T-S fuzzy model with multiplicative noise

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3 Author(s)
Wen-Jer Chang ; Dept. of Marine Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan ; Wen-Yuan Wu ; Cheung-Chieh Ku

This paper introduces an observer-based Hinfin fuzzy control design method for discrete-time nonlinear systems with multiplicative noise. First, the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear discrete-time system with multiplicative noise. Secondly, the stability conditions are derived via Lyapunov function to analyze the stability and Hinfin performance of system. Thirdly, the standard two-step method is adopted to separately obtain the controller gain matrices and the observer gain matrices by solving two sets of linear matrix inequalities (LMIs). Finally, a numerical simulation is given to demonstrate the application of the proposed approach.

Published in:

Information and Automation, 2009. ICIA '09. International Conference on

Date of Conference:

22-24 June 2009