Title :
Quadratic Stability and Stabilisation of Interval Takagi-Sugeno Model : LMI Approach
Author :
Chadli, Mohammed ; Ragot, José ; Maquin, Didier
Author_Institution :
Fac. of Math. & Comput. Sci., Univ. of Picardie Jules Verne, Amiens
Abstract :
This paper deals with the stability analysis of interval Takagi-Sugeno. Based on a quadratic Lyapunov function, new asymptotic stability conditions for continuous case are presented without any assumption on the norm of matrices uncertainties. This result is obtained directly according to the bounds (minimal and maximum) of the intervals of each element of matrices representing the system. These stability conditions, extended to the design of controller, are formulated in terms of linear matrix inequalities (LMI). Example is given to illustrate the proposed method
Keywords :
Lyapunov matrix equations; asymptotic stability; control system synthesis; fuzzy control; linear matrix inequalities; asymptotic stability; controller design; interval Takagi-Sugeno model; linear matrix inequalities; matrix uncertainty; quadratic Lyapunov function; quadratic stability; Asymptotic stability; Control system synthesis; Linear matrix inequalities; Lyapunov method; Stability analysis; Symmetric matrices; Systems engineering and theory; Takagi-Sugeno model; Uncertain systems; Uncertainty;
Conference_Titel :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation
Conference_Location :
Limassol
Print_ISBN :
0-7803-8936-0
DOI :
10.1109/.2005.1467156
