Stabilization of Switched Systems With Nonlinear Impulse Effects and Disturbances

In this note, we investigate the stabilization of switched systems with nonlinear impulse effects and disturbances. Based on the estimate on transition matrices and Gronwall inequality, feedback laws are designed to achieve the exponential stability of the closed-loop system with arbitrary switching frequency.

[1]  Guangming Xie,et al.  Necessary and sufficient conditions for stabilization of discrete-time planar switched systems , 2006 .

[2]  F. Xue,et al.  Necessary and sufficient conditions for adaptive stablizability of jump linear systems , 2001, Commun. Inf. Syst..

[3]  Daizhan Cheng,et al.  STABILIZATION OF SWITCHED LINEAR SYSTEMS , 2008 .

[4]  Daniel Liberzon,et al.  Lie-Algebraic Stability Criteria for Switched Systems , 2001, SIAM J. Control. Optim..

[5]  Daizhan Cheng,et al.  On quadratic Lyapunov functions , 2003, IEEE Trans. Autom. Control..

[6]  A. Morse,et al.  A cyclic switching strategy for parameter-adaptive control , 1994, IEEE Trans. Autom. Control..

[7]  Z. G. Lia,et al.  Observer-based stabilization of switching linear systems , 2003 .

[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]  Guangdeng Zong,et al.  Exponential stability of switched systems with impulsive effect , 2005 .

[10]  S. Dragomir Some Gronwall Type Inequalities and Applications , 2003 .

[11]  Guangming Xie,et al.  Improved Overshoot Estimation in Pole Placements and Its Application in Observer-Based Stabilization for Switched Systems , 2006, IEEE Transactions on Automatic Control.

[12]  Daizhan Cheng,et al.  Stabilization of planar switched systems , 2004, Syst. Control. Lett..

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

[14]  Yuguang Fang,et al.  Stabilization of continuous-time jump linear systems , 2002, IEEE Trans. Autom. Control..

[15]  A. Morse Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[16]  Wim Michiels,et al.  Stabilization of time-delay systems with a Controlled time-varying delay and applications , 2005, IEEE Transactions on Automatic Control.