Non-quadratic stabilization of switched linear systems

This work presents a constructive design approach for the problem of stabilization of switched linear systems. The idea is to first transform a controllable switched linear system into a norm form, and then a constructive design procedure is developed for the norm form. Detailed design steps are presented to achieve non-quadratic stability for a class of third-order systems.

[1]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[2]  Jerzy Tokarzewski,et al.  Stability of periodically switched linear systems and the switching frequency , 1987 .

[3]  Zhendong Sun Canonical forms of switched linear control systems , 2004, Proceedings of the 2004 American Control Conference.

[4]  Zhendong Sun,et al.  Switched Stabilization of Higher-order Switched Linear Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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

[6]  G. Zhai,et al.  Quadratic stabilizability of switched linear systems with polytopic uncertainties , 2003 .

[7]  Hai Lin,et al.  Switched Linear Systems: Control and Design , 2006, IEEE Transactions on Automatic Control.

[8]  Guangming Xie,et al.  New results on the quadratic stabilization of switched linear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

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

[10]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[11]  Shuzhi Sam Ge,et al.  Switched Linear Systems , 2005 .

[12]  S. Pettersson,et al.  Stabilization of hybrid systems using a min-projection strategy , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).