Tracking Control for Uncertain Takagi Sugeno Fuzzy Systems with External Disturbances
| Authors: | Mansouri Badr, Université de Reims, France
Manamanni Noureddine, CRESTIC, Université de Reims, France
Hamzaoui Abdelaziz, CRESTIC, Université de Reims, France
Zaytoon Janan, CRESTIC, Université de Reims, France |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: LMI Methods |
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| Keywords: | Fuzzy control, linear matrix inequality (LMI), quadratic stability, tracking, relaxed condition, Hinf robust control, uncertain systems. |
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Abstract
In this paper a fuzzy tracking control is proposed for non linear dynamic system with bounded external disturbances and admissible uncertainties described as Takagi-Sugeno (T-S) fuzzy model. Using a tracking reference model, a stability condition scheme based on an augmented system with a guaranteed H infinity performance is proposed to obtain tracking performances. The main result of this paper is to provide, for the overall system in the presence of uncertainties, a sufficient stability condition for the robust fuzzy H infinity controller expressed in terms of linear matrix inequalities (LMIs). An example of robust fuzzy H infinity controller for uncertain nonlinear system is given for illustration.
