Stabilization of switched systems with nonlinear impulse effects and disturbances

IEEE Transactions on Automatic Control

Volumn 56, Issue 11, 2011, Pages 2739-2743

  Sun, Yuangong ^a  

^a UNIVERSITY OF JINAN   (China)

Author keywords

Disturbance; impulse; stabilization; switched system

Indexed keywords

ARBITRARY SWITCHING; DISTURBANCE; FEEDBACK LAWS; GRONWALL INEQUALITY; IMPULSE; IMPULSE EFFECT; SWITCHED SYSTEM; TRANSITION MATRICES;

SWITCHING SYSTEMS;

STABILIZATION;

EID: 80455150474     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2159889     Document Type: Article

References (16)

1. Y. Fang and K. A. Loparo, "Stabilization of continuous-time jump linear systems," IEEE Trans. Autom. Control, vol. 47, no. 10, pp. 1590-1603, Oct. 2002.
2. F. Xue and L. Guo, "Necessary and sufficient conditions for adaptive stabilizability of jump linear systems," Commun. Inf. Syst., vol. 1, pp. 205-224, 2001.
3. A. A. Agrachev and D. Liberzon, "Lie-algebraic stability criteria for switched systems," SIAM J. Control Optim., vol. 40, no. 1, pp. 253-269, 2001.
4. D. Cheng, L. Guo, and J. Huang, "On quadratic functions," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 885-890, May 2003.
5. D. Cheng, "Stabilization of planar switched systems," Syst. Control Lett., vol. 52, pp. 79-88, 2004.
6. D. Liberzon, J. P. Hespanha, and A. S. Morse, "Stability of switched systems: A lie-algebraic condition," Syst. Control Lett., vol. 37, no. 3, pp. 117-122, 1999.
7. J. P. Hespanha and A. S. Morse, "Stability of switched systems with average dwell-time," in Proc. 38th Conf. Decisioin Control, 1999, pp. 2655-2660.
8. A. S. Morse, "Supervisory control of families of linear set-point controllers- Part I: Exact matching," IEEE Trans. Autom. Control, vol. 41, no. 10, pp. 1413-1431, Oct. 1996.
9. D. Cheng, L. Guo, Y. Lin, and Y. Wang, "Stabilization of switched linear systems," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 661-666, May 2005.
10. Y. G. Sun, L. Wang, G. Xie, and M. Yu, "Improved overshoot estimation in pole placements and its application in observer-based stabilization for switched systems," IEEE Trans. Autom. Control, vol. 51, no. 12, pp. 1962-1966, Dec. 2006.
11. Y. G. Sun, L. Wang, and G. Xie, "Necessary and sufficient conditions for stabilization of discrete-time planar switched systems," Nonlin. Anal.: Theory, Methods Appl., vol. 65, pp. 1039-1049, 2006.
12. Z. G. Li, C. Y. Wen, and Y. C. Soh, "Observer-based stabilization of switching linear systems," Automatica, vol. 39, no. 3, pp. 517-524, 2003.
13. G. D. Zong and Y. Q. Wu, "Exponential stability of switched systems with impulse effects," J. Control Theory Appl., vol. 1, pp. 60-66, 2005.
14. F. M. Pait and A. S. Morse, "A cyclic switching strategy for parameter- adaptive control," IEEE Trans. Autom. Control, vol. 39, no. 6, pp. 1172-1183, Jun. 1994.
15. S. S. Dragomir, Some Gronwall Type Inequalities and Applications. Hauppauge, New York: Nova Science Publishers, 2003.
16. W. Michiels, V. V. Assche, and S. I. Niculescu, "Stabilization of time delay systems with a controlled time-varying delay and applications," IEEE Trans. Autom. Control, vol. 50, no. 4, pp. 493-504, Apr. 2005.