Global adaptive output-feedback control for switched uncertain nonlinear systems

Zhibao Song; Junyong Zhai; Hui Ye

Kybernetika (2017)

  • Volume: 53, Issue: 2, page 263-281
  • ISSN: 0023-5954

Abstract

top
In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical example is given to demonstrate the effectiveness of the proposed control scheme.

How to cite

top

Song, Zhibao, Zhai, Junyong, and Ye, Hui. "Global adaptive output-feedback control for switched uncertain nonlinear systems." Kybernetika 53.2 (2017): 263-281. <http://eudml.org/doc/288192>.

@article{Song2017,
abstract = {In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical example is given to demonstrate the effectiveness of the proposed control scheme.},
author = {Song, Zhibao, Zhai, Junyong, Ye, Hui},
journal = {Kybernetika},
keywords = {switched nonlinear system; output-feedback; adaptive control},
language = {eng},
number = {2},
pages = {263-281},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Global adaptive output-feedback control for switched uncertain nonlinear systems},
url = {http://eudml.org/doc/288192},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Song, Zhibao
AU - Zhai, Junyong
AU - Ye, Hui
TI - Global adaptive output-feedback control for switched uncertain nonlinear systems
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 2
SP - 263
EP - 281
AB - In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical example is given to demonstrate the effectiveness of the proposed control scheme.
LA - eng
KW - switched nonlinear system; output-feedback; adaptive control
UR - http://eudml.org/doc/288192
ER -

References

top
  1. Bacciotti, A., Rosier, L., 10.1007/b139028, Springer, New York 2005. MR2146587DOI10.1007/b139028
  2. Branicky, M., 10.1109/9.664150, IEEE Trans. Automat. Control 43 (1998), 475-482. Zbl0904.93036MR1617575DOI10.1109/9.664150
  3. El-Farra, N., Mhaskar, P., Christofides, P., 10.1016/j.sysconle.2005.04.005, Syst. Control Lett. 54 (2005), 1163-1182. Zbl1129.93497MR2175632DOI10.1016/j.sysconle.2005.04.005
  4. Krstic, M., Kokotovic, P., Kanellakopoulos, I., Nonlinear and Adaptive Control Design., John Wiley and Sons, Inc. 1995. 
  5. Lei, H., Lin, W., , Automatica 42 (2006), 1783-1789. Zbl1114.93057MR2249724DOI
  6. Lei, H., Lin, W., 10.1016/j.sysconle.2007.03.002, Syst. Control Lett. 56 (2007), 529-537. Zbl1118.93026MR2332005DOI10.1016/j.sysconle.2007.03.002
  7. Li, E., Long, L., Zhao, J., 10.1016/j.amc.2015.01.039, Appl. Math. Comput. 256 (2015), 551-564. Zbl1338.93301MR3316091DOI10.1016/j.amc.2015.01.039
  8. Liberzon, D., Morse, A., 10.1109/37.793443, IEEE Control Syst. Mag. 19 (1999), 59-70. DOI10.1109/37.793443
  9. Liberzon, D., 10.1007/978-1-4612-0017-8, Birkhauser, Boston 2003. Zbl1036.93001MR1987806DOI10.1007/978-1-4612-0017-8
  10. Long, L., Zhao, J., 10.1080/00207179.2012.733414, Int. J. Control 86 (2013), 386-395. MR3022390DOI10.1080/00207179.2012.733414
  11. Wu, J., 10.1016/j.automatica.2008.12.004, Automatica 45 (2009), 1092-1096. Zbl1162.93030MR2535934DOI10.1016/j.automatica.2008.12.004
  12. Yan, X., Liu, Y., 10.1007/s11768-013-2081-3, J. Contr. Theory Appl. 11 (2013), 401-408. Zbl1299.93239MR3083987DOI10.1007/s11768-013-2081-3
  13. Yang, B., Lin, W., 10.1002/rnc.985, Int. J. Robust Nonlinear Control 15 (2005), 247-268. Zbl1078.93059MR2125784DOI10.1002/rnc.985
  14. Zhai, J., Qian, C., 10.1002/rnc.1765, Int. J. Robust Nonlinear Control 22 (2012), 1543-1561. MR2970951DOI10.1002/rnc.1765
  15. Zhai, J., Ai, W., Fei, S., 10.1049/iet-cta.2011.0505, IET Contr. Theory Appl. 7 (2013), 305-313. MR3087469DOI10.1049/iet-cta.2011.0505

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.