Passivity-based global stabilization of a class of switched nonlinear systems by backstepping

This paper considers the global stabilization problem for a class of switched nonlinear systems. Passivity-based global stabilization controller and a state-dependent switching law of switched nonlinear systems with any relative degree are designed with the help of the recursive feedback passification design technique. Finally, a numerical example is presented to illustrate the effectiveness of our results.

[1]  Georgi M. Dimirovski,et al.  Feedback passivation of switched nonlinear systems using storage-like functions , 2011 .

[2]  D. Hill,et al.  A notion of passivity for switched systems with state-dependent switching , 2006 .

[3]  Rafal Goebel,et al.  Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems , 2007, IEEE Transactions on Automatic Control.

[4]  N.H. McClamroch,et al.  Performance benefits of hybrid control design for linear and nonlinear systems , 2000, Proceedings of the IEEE.

[5]  Jun Zhao,et al.  Dissipativity Theory for Switched Systems , 2005, CDC 2005.

[6]  David Angeli,et al.  Nonlinear norm-observability notions and stability of switched systems , 2005, IEEE Transactions on Automatic Control.

[7]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[8]  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).

[9]  Zhong-Ping Jiang,et al.  A passification approach to adaptive nonlinear stabilization , 1996 .

[10]  Wei Lin Global Robust Stabilization of Minimum-Phase Nonlinear Systems with Uncertainty , 1995 .

[11]  Zhong-Ping Jiang,et al.  Passivity and disturbance attenuation via output feedback for uncertain nonlinear systems , 1998, IEEE Trans. Autom. Control..

[12]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

[13]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[14]  Jun Zhao,et al.  Passivity and stability of switched systems: A multiple storage function method , 2008, Syst. Control. Lett..

[15]  Georgi M. Dimirovski,et al.  Passivity, feedback equivalence and stability of switched nonlinear systems using multiple storage functions , 2011, Proceedings of the 30th Chinese Control Conference.

[16]  Shengwei Mei,et al.  Quadratic stabilization of switched nonlinear systems , 2009, Science in China Series F: Information Sciences.

[17]  Nael H. Ei-Farra,et al.  Output feedback control of switched nonlinear systems using multiple Lyapunov functions , 2001 .

[18]  Mrdjan Jankovic,et al.  Global adaptive stabilization of cascade nonlinear systems , 1997, Autom..

[19]  Wei Lin,et al.  Global Robust Stabilization of Minimum-Phase Nonlinear Systems with Uncertainty , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[20]  M. Zefran,et al.  A notion of passivity for hybrid systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[21]  Daniel Liberzon,et al.  Common Lyapunov functions for families of commuting nonlinear systems , 2005, Syst. Control. Lett..

[22]  João P. Hespanha,et al.  Nonlinear observability notions and stability of switched systems , 2003 .

[23]  Mehrdad Saif,et al.  PASSIVITY AND PASSIVITY BASED CONTROLLER DESIGN OF A CLASS OF SWITCHED CONTROL SYSTEMS , 2005 .

[24]  P. Kokotovic,et al.  Global adaptive stabilization of cascade nonlinear systems , 1996, Autom..