Online-type state feedback design for switched systems with time-delay in detection of switching signal

In This work, stabilization problem for a class of switched linear systems, where the switching signal is detected delayed, is studied. Online-type state feedback controller design for asymptotic stability and exponential stability is presented. A numerical example is given to illustrate the results.

[1]  Raymond A. DeCarlo,et al.  Switched Controller Synthesis for the Quadratic Stabilisation of a Pair of Unstable Linear Systems , 1998, Eur. J. Control.

[2]  K. Narendra,et al.  A common Lyapunov function for stable LTI systems with commuting A-matrices , 1994, IEEE Trans. Autom. Control..

[3]  A. Morse,et al.  Stability of switched systems: a Lie-algebraic condition ( , 1999 .

[4]  A. Michel,et al.  Stability theory for hybrid dynamical systems , 1998, IEEE Trans. Autom. Control..

[5]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[6]  Xie Guang-ming,et al.  Controllability of a class of hybrid dynamic systems (I)—Basic properties and preliminary results , 2003 .

[7]  Zhendong Sun,et al.  On reachability and stabilization of switched linear systems , 2001, IEEE Trans. Autom. Control..

[8]  K. Narendra,et al.  On the stability and existence of common Lyapunov functions for stable linear switching systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[9]  Guangming Xie,et al.  Necessary and sufficient conditions for controllability of switched linear systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[10]  R. Decarlo,et al.  Asymptotic Stability of m-Switched Systems using Lyapunov-Like Functions , 1991, 1991 American Control Conference.

[11]  Qianchuan Zhao,et al.  Stable and Real-Time Scheduling of a Class of Hybrid Dynamic Systems , 1999, Discret. Event Dyn. Syst..

[12]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[13]  Abderrahmane Haddad,et al.  Controllability and observability of hybrid systems , 1989 .

[14]  A. Michel,et al.  Robust stabilizing control laws for a class of second-order switched systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[15]  Lianming Sun,et al.  Output intersampling approach to direct closed-loop identification , 2001, IEEE Trans. Autom. Control..

[16]  Zhengguo Li,et al.  Stabilization of a class of switched systems via designing switching laws , 2001, IEEE Trans. Autom. Control..

[17]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[18]  S. Pettersson,et al.  Stability and robustness for hybrid systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[19]  Yin Zhenyu,et al.  Hybrid controllability of linear switched systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[20]  Yongji Wang,et al.  Stable and robust state feedback design for hybrid systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).