This paper investigates the problem of stabilization for a class of switched neutral systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A state feedback controller is proposed to guarantee exponential stability for switched neutral systems, and the dwell time approach and free weighting matrix scheme are utilized for the stability analysis. A numerical example is given to illustrate the effectiveness of the proposed method.
AntsaklisPJ (2000) Special issue on hybrid systems: theory and applications – A brief introduction to the theory and applications of hybrid systems. Proceedings of the IEEE88(7): 887–897.
2.
ChengDGuoLLinYWangY (2005) Stabilization of switched linear systems. IEEE Transactions on Automatic Control50(5): 661–666.
3.
EngellSKowalewskiSSchulzCStrusbergO (2000) Continuous-discrete interactions in chemical processing plants. Proceedings of the IEEE88(7): 1050–1068.
4.
GuKQ (2001) A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. International Journal of Control74(10): 967–976.
5.
HorowitzRVaraiyaP (2000) Control design of an automated highway system. Proceedings of the IEEE88: 913–925.
6.
JiZGuoXXuSWangL (2007) Stabilization of switched linear systems with time-varying delay in switching occurrence detection. Circuits, Systems, and Signal Processing26(3): 361–367.
7.
LiQKZhaoJDimirovskiGM (2009) Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems. Nonlinear Analysis: Hybrid Systems2(3): 133–142.
8.
LiberzonD (2003) Switching in Systems and Control. Boston, MA: Birkhauser.
9.
LienHYuKW (2007) Non-fragile H∞ control for uncertain neutral systems with time-varying delays via the LMI optimization approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B37(2): 493–499.
10.
LiuDYZhongSMLiuXZHuangYQ (2009) Stability analysis for uncertain switched neutral systems with discrete time-varying delay: a delay-dependent method. Mathematics and Computers in Simulation80(2): 436–448.
11.
LiuDYLiuXZZhongSM (2008) Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays. Applied Mathematics and Computation202(2): 828–839.
12.
LivadasCLygerosJLynchNA (2000) High-level modeling and analysis of the traffic alert and collision avoidance system. Proceedings of the IEEE88(7): 926–948.
13.
PepyneDCassandarasC (2000) Optimal control of hybrid systems in manufacturing. Proceedings of the IEEE88(7): 1008–1122.
14.
PersisaCDSantisbRDMorseAS (2003) Switched nonlinear systems with state-dependent dwell-time. Systems and Control Letters50(2): 291–302.
15.
SenMDMalainaJLGallegoASotoJC (2005) Stability of non-neutral and neutral dynamic switched systems subject to internal delays. American Journal of Applied Sciences2(10): 1481–1490.
16.
SongMTarnTJXiN (2000) Integration of task scheduling, action planning, and control in robotic manufacturing systems. Proceedings of the IEEE88(7): 1097–1107.
17.
SunXMFuJSunHFZhaoJ (2005) Stability of linear switched neutral delay systems. Proceedings of the Chinese Society of Electrical Engineering25(23): 42–46.
18.
SunXMZhaoJHillDJ (2006) Stability and L2 -gain analysis for switched delay systems: a delay-dependent method. Automatica42(10): 1769–1774.
19.
SunZ (2006) Combined stabilizing strategies for switched linear systems. IEEE Transactions on Automatic Control51(4): 666–674.
20.
UcarA (2003) On the chaotic behaviour of a prototype delayed dynamical system. Chaos, Solitons and Fractals16: 187–194.
21.
WangRZhaoJ (2007) Guaranteed cost control for a class of uncertain switched delay systems: an average dwell-time method. Cybernetics and Systems38(1): 105–122.
22.
XiangZChenQ (2010) Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. Applied Mathematics and Computation216(3): 800–811.
23.
XiangZRWangRH (2009a) Robust control for uncertain switched non-linear systems with time delay under asynchronous switching. IET Control Theory and Applications3(8): 1041–1050.
24.
XiangZRWangRH (2009b) Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching. Proceedings IMechE, Part I: Journal of Systems and Control Engineering223(8): 1111–1128.
25.
XieDChenX (2008) Observer-based switched control design for switched linear systems with time-delay in detection of switching signal. IET Control Theory and Applications2(5): 437–445.
26.
XieGWangL (2005) Stabilization of switched linear systems with time-delay in detection of switching signal. Journal of Mathematical Analysis and Applications305(6): 277–290.
27.
XieWWenCLiZ (2001) Input-to-state stabilization of switched nonlinear systems. IEEE Transactions on Automatic Control46(7): 1111–1116.
28.
XiongLLZhongSMYeMWuSL (2009) New stability and stabilization for switched neutral control systems. Chaos, Solitons and Fractals42(3): 1800–1811.
29.
ZhangLGaoH (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica46(5): 953–958.
30.
ZhangLShiP (2009) Stability, l2 -gain and asynchronously H∞ control of discrete-time switched systems with average dwell time. IEEE Transactions on Automatic Control54(9): 2193–2200.
31.
ZhangYPLiuXZZhuHZhongSM (2007a) Stability analysis and control synthesis for a class of switched neutral systems. Applied Mathematics and Computation190(2): 1258–1266.
32.
ZhangYPZhuHZhongSM (2007b) Robust non-fragile H∞ control for a class of switched neutral systems. 2nd IEEE Conference on Industrial Electronics and Applications, 1003–1008.
33.
ZhangYPZhuHLiuXZZhongSM (2007c) Reliable H∞ control for a class of switched neutral systems. Complex System and Applications: Modeling, Control and Simulations14(S2): 1724–1729.
34.
ZhangYPLiuXZZhuH (2008) Robust sliding mode control for a class of uncertain switched neutral systems. Dynamics of Continuous, Discrete and Impulsive2(15): 207–218.
