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Robust fuzzy control of uncertain nonlinear systems based on Linear Matrix Inequalities

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2 Author(s)
Shi-zhen Bai ; School of Logistics, Harbin University of Commerce, 150076, China ; Song-tao Zhang

Robust control for uncertain nonlinear systems based on T-S fuzzy model is discussed in this paper. Firstly, a T-S fuzzy system is adopted to model the uncertain nonlinear systems. Then, for the system with input variables adopting standard fuzzy partitions, a new sufficient condition to check the stability of T-S fuzzy system with uncertainty is derived, which is expressed in terms of linear matrix inequalities. The derived stability condition, which only requires finding a common positive definite matrix in each maximal overlapped-rules group, can reduce the conservatism and difficulty of the former stability conditions. Finally, a simulation example shows the proposed approach is effective.

Published in:

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Date of Conference:

25-27 June 2008