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http://dx.doi.org/10.5391/IJFIS.2012.12.3.187

Controller Design for Continuous-Time Takagi-Sugeno Fuzzy Systems with Fuzzy Lyapunov Functions : LMI Approach  

Kim, Ho-Jun (Department of Electrical and Electronic Eng., Yonsei Univ.)
Joo, Young-Hoon (Department of Control and Robotics Eng., Kunsan National Univ.)
Park, Jin-Bae (Department of Electrical and Electronic Eng., Yonsei Univ.)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.12, no.3, 2012 , pp. 187-192 More about this Journal
Abstract
This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which can be solved easily by the Matlab LMI Toolbox. Simulation examples are given to illustrate the effectiveness of this method.
Keywords
Fuzzy Lyapunov functions (FLFs); Takagi-Sugeno fuzzy systems; Linear matrix inequalities (LMIs); Stabilization;
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