Title :
Exponential stabilization for uncertain T-S fuzzy systems with time-delay and nonlinear perturbation
Author :
Jun, Wei ; Yali, Dong ; Yongfeng, Su
Author_Institution :
Sch. of Sci., Tianjin Polytech. Univ., Tianjin, China
Abstract :
This exponential stabilization problem is addressed in this pap er for uncertain T-S fuzzy with time-delays an d nonlinear perturbations. Based on the Lyapunov-Krasovskii theory and by introducing free weighting matrices, we derive the robust exponential stabilization conditions in terms of linear matrix inequalities which can be solved by various available algorithms. Fuzzy controllers are designed which guarantee the close-loop systems are exponentially stable. And the corresponding exponential estimates are also given. A numerical example is given to illustrate the effectiveness of our theoretical result.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; delays; fuzzy control; linear matrix inequalities; nonlinear control systems; perturbation techniques; uncertain systems; Lyapunov-Krasovskii theory; close-loop systems; free weighting matrices; linear matrix inequalities; nonlinear perturbation; robust exponential stabilization conditions; time-delay; uncertain T-S fuzzy systems; Fuzzy systems; Linear matrix inequalities; Robust stability; Robustness; Stability analysis; State feedback; Symmetric matrices; Exponential stabilization; Linear matrix inequality (LMI); Time-delays; Uncertain T-S fuzzy systems;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3