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Optimal guaranteed cost control for an uncertain discrete T-S fuzzy system with time-delay
Received:December 21,2007  Revised:October 10,2008
Keywords:Fuzzy system  Time delay  Linear matrix inequalities (LMI)  Guaranteed cost control
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Renming WANG, Thierry Marie GUERRA, Juntao PAN College of Electrical Engineering and Information Technology, Three Gorges University, Yichang Hubei 443002, China; LAMIH, UMR CNRS, Universit?e de Valenciennes et du Hainaut-Canbr?esis, Le Mont Houy, Valenciennes Cedex, France; Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University, Nanjing Jiangsu 210096, China 
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Abstract:
      This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities (LMI) approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law. A convex optimization problem is also formulated to select the optimal guaranteed cost controller that minimizes the upper bound of the closed-loop cost function. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed approaches.
Renming WANG, Thierry Marie GUERRA, Juntao PAN.Optimal guaranteed cost control for an uncertain discrete T-S fuzzy system with time-delay[J].Journal of Control Theory and Applications,2009,7(2):144~150.
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