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Robust Fuzzy Feedback Linearization Control

Chang-Woo Park/Mignon Park
Transaction on Control Automation, and Systems Engineering, vol. 4, no. 4, pp.356-362, 2002

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.

Keyword : fuzzy control, feedback linearization, linear matrix inequalities, robust stability, takagi-sugeno model

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