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Robust Fuzzy Feedback Linearization Control Based on Takagi-Sugeno Fuzzy Models  

Park, Chang-Woo (Electrial and Electronic Eng., Yonsei Univ.)
Park, Mignon (Electrial and Electronic Eng., Yonsei Univ.)
Publication Information
Transactions on Control, Automation and Systems Engineering / v.4, no.4, 2002 , pp. 356-362 More about this Journal
Abstract
In this paper, well-known Takagi-Sugeno fuzzy model is used as the nonlinear plant model and uncertainty is assumed to be included in the model structure with known bounds. Based on the fuzzy models, a numerical robust stability analysis for the fuzzy feedback linearization regulator is presented using Linear Matrix Inequalities (LMI) Theory. For these structured uncertainty, the closed system can be cast into Lur'e system by simple transformation. From the LMI stability condition for Lur'e system, we can derive the robust stability condition for the fuzzy feedback linearization regulator based on Takagi-Sugeno fuzzy model. The effectiveness of the proposed analysis is illustrated by a simple example.
Keywords
fuzzy control; feedback linearization; linear matrix inequalities; robust stability; takagi-sugeno model;
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