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		Songtao ZHANG,Shizhen BAI.[en_title][J].Control Theory and Technology,2009,7(2):139~143.[Copy]

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SongtaoZHANG,ShizhenBAI
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Received:December 06, 2007Revised:October 16, 2008

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Controller design of uncertain nonlinear systems based on T-S fuzzy model

Songtao ZHANG, Shizhen BAI

(School of Management, Harbin University of Commerce, Harbin Heilongjiang 150076, China)

Abstract:

A robust control for uncertain nonlinear systems based on T-S fuzzy model is discussed in this paper. First, a T-S fuzzy system is adopted to model the uncertain nonlinear systems. Then, for the system with input variables adopting standard fuzzy partitions, the efficient maximal overlapped-rules group (EMORG) is presented, and 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 a local common positive definite matrix in each EMORG, can reduce the conservatism and difficulty in existing stability conditions. Finally, a simulation example shows the proposed approach is effective.

Key words: Controller design Uncertain nonlinear systems T-S fuzzy model