New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
摘要
This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.
This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.
作者
Liang Lin XIONG 1,2,Shou Ming ZHONG 2,3,Mao YE 4 1.School of Mathematics and Computer Science,Yunnan Nationalities University,Yunnan 650031,P.R.China
2.School of Applied Mathematics,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China
3.Key Laboratory for NeuroInformation of Ministry of Education,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China
4.School of Computer Science and Engineering,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China
基金
Supported by the National Natural Science Foundation of China (Grant No. 60736029)
the Program for New Century Excellent Talents in University (Grant No. 06-0811)
参考文献16
-
1LIN Hai, ANTSAKLIS P J. Stability and stabilizability of switched linear systems: a survey of recent results [J]. IEEE Trans. Automat. Control, 2009, 54(2): 308-322.
-
2DU Dongsheng, JIANG Bin, SHI Peng, et al. Robust l2loo control for uncertain discretetime switched systems with delays [J]. Gircuits Systems Signal Process, 2006, 25(6): 729-744.
-
3XIE Guangming, WANG Long, Quadratic stability and stabilization of discretetime Switched systems with state delay [C]. 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, 2004.
-
4MASON P, SIGALOTTI M, DAAFOUZ J. On stability analysis of linear discretetime switched systems using quadratic Lyapunov functions [C]. Proceedings of the 46th IEEE Conference on Decision and Control New Orleans, LA, USA, 2007.
-
5LIN Hai, ZHAI Guisheng, PANO J, et al. Robust stability and disturbance attenuation analysis.ofa class of networked control systems [C]. Proceedings of the 42th IEEE Conference on Decision and Control, Maui, Hawaii USA, 2003.
-
6HETEL L, DAAFOUZ J, IUNG C. Equivalence between the LyapunovKrasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems [J]. Nonlinear Anal. Hybrid Syst,, 2008, 2(3): 697-705.
-
7ZHANG Liqian, SHI Yang, CHEN Tongwen, et al. A new method for stabilization of networked control systems with random delays [J]. IEEE Trans. Automat. Control, 2005, 50(8): 1177-1181.
-
8SUN Yuangong, WANG Long, XIE Guangming. Delaydependent robust stability and stabilization for discretetime switched systems with modedependent timevarying delays [J]. Appl. Math. Comput., 2006, 180(2): 428-435.
-
9SUN Yuangong, WANG Long, XIE Guangming. Delaydependent robust stability and H∞ control for uncertain discretetime switched systems with modedependent time delays [J]. Appl. Math. Comput., 2007, 187(2): 1228-1237.
-
10ZHANG Xianming. Study on delaydependent robust control based on an integral inequality approach [D]. PhD Thesis, School of Information Science and Engineering, Central South University, 2006.