Exponential stability of uncertain T-S fuzzy switched systems with time delay

被引：19
作者：
Ahmida F. [1 ]
Tissir E.H. [1 ]
机构：
[1] Department of Physics, Faculty of Sciences, Fes-Atlas
来源：
Tissir, E. H. (elh_tissir@yahoo.fr) | 1600年 / Chinese Academy of Sciences卷 / 10期
关键词：
Delay dependent stability; exponential stability; linear matrix inequalities (LMIs); T-S fuzzy switched systems; uncertainty;
D O I：
10.1007/s11633-013-0693-1
中图分类号：
学科分类号：
摘要：
This paper discusses the delay-dependent exponential stability of a class of uncertain T-S fuzzy switched systems with time delay. The method is based on Lyapunov stability theorem and free weighting matrices approach. Two illustrative examples are given to demonstrate the effectiveness of the proposed method. © 2013 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：32 / 38
页数：6
相关论文
共 35 条
[1]  
Liberzon D., Switching in Systems and Control, (2003)
[2]  
Savkin A.V., Evans R.J., Hybrid Dynamical Systems: Controller and Sensor Switching Problems, (2002)
[3]  
Sun Z.D., Ge S.S., Switched Linear Systems: Control and Design, (2005)
[4]  
De Carlo R.A., Branicky M.S., Pettersson S., Lennartson B., Perspectives and results on the stability and stabilizability of hybrid systems, Proceedings of the IEEE, 88, 7, pp. 1069-1082, (2000)
[5]  
Phat V.N., Pairote S., Global stabilization of linear periodically time-varying switched systems via matrix inequalities, Journal of Control Theory and Applications, 4, 1, pp. 26-31, (2006)
[6]  
Sun Z.D., Ge S.S., Switched Linear Systems: Control and Design, (2005)
[7]  
Zhai G.S., Lin H., Antsaklis P.J., Quadratic stabilizability of switched linear systems with polytopic uncertainties, International Journal of Control, 76, 7, pp. 747-753, (2003)
[8]  
Guerra T.M., Vermeiren L., LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in the Takagi-Sugenos form, Automatica, 40, 5, pp. 823-829, (2004)
[9]  
Wang W.J., Sun C.H., Relaxed stability and stabilization conditions for a T-S fuzzy discrete system, Fuzzy Sets and Systems, 156, 2, pp. 208-225, (2005)
[10]  
Yang B., Yu D.C., Feng G., Chen C., Stabilisation of a class of nonlinear continuous time systems by a fuzzy control approach, IEE Proceedings: Control Theory and Applications, 153, 4, pp. 427-436, (2006)
1234