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Title: Global adaptive output-feedback control for switched uncertain nonlinear systems (English)
Author: Song, Zhibao
Author: Zhai, Junyong
Author: Ye, Hui
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 53
Issue: 2
Year: 2017
Pages: 263-281
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: switched nonlinear system
Keyword: output-feedback
Keyword: adaptive control
MSC: 39A13
MSC: 93D21
idZBL: Zbl 06770168
idMR: MR3661352
DOI: 10.14736/kyb-2017-2-0263
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Date available: 2017-06-25T17:58:42Z
Last updated: 2018-01-10
Stable URL: http://hdl.handle.net/10338.dmlcz/146805
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Reference: [1] Bacciotti, A., Rosier, L.: Lyapunov Functions and Stability in Control Theory..Springer, New York 2005. MR 2146587, 10.1007/b139028
Reference: [2] Branicky, M.: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems..IEEE Trans. Automat. Control 43 (1998), 475-482. Zbl 0904.93036, MR 1617575, 10.1109/9.664150
Reference: [3] El-Farra, N., Mhaskar, P., Christofides, P.: Output feedback control of switched nonlinear systems using multiple Lyapunov functions..Syst. Control Lett. 54 (2005), 1163-1182. Zbl 1129.93497, MR 2175632, 10.1016/j.sysconle.2005.04.005
Reference: [4] Krstic, M., Kokotovic, P., Kanellakopoulos, I.: Nonlinear and Adaptive Control Design..John Wiley and Sons, Inc. 1995.
Reference: [5] Lei, H., Lin, W.: Universal adaptive control of nonlinear systems with unknown growth rate by output feedback..Automatica 42 (2006), 1783-1789. Zbl 1114.93057, MR 2249724,
Reference: [6] Lei, H., Lin, W.: Adaptive regulation of uncertain nonlinear systems by output feedback: a universal control approach..Syst. Control Lett. 56 (2007), 529-537. Zbl 1118.93026, MR 2332005, 10.1016/j.sysconle.2007.03.002
Reference: [7] Li, E., Long, L., Zhao, J.: Global output-feedback stabilization for a class of switched uncertain nonlinear systems..Appl. Math. Comput. 256 (2015), 551-564. Zbl 1338.93301, MR 3316091, 10.1016/j.amc.2015.01.039
Reference: [8] Liberzon, D., Morse, A.: Basic problems in stability and design of switched systems..IEEE Control Syst. Mag. 19 (1999), 59-70. 10.1109/37.793443
Reference: [9] Liberzon, D.: Switching in Systems and Control..Birkhauser, Boston 2003. Zbl 1036.93001, MR 1987806, 10.1007/978-1-4612-0017-8
Reference: [10] Long, L., Zhao, J.: Output-feedback stabilization for a class of switched nonlinear systems with unknown control coefficients..Int. J. Control 86 (2013), 386-395. MR 3022390, 10.1080/00207179.2012.733414
Reference: [11] Wu, J.: Stabilizing controllers design for switched nonlinear systems in strict-feedback form..Automatica 45 (2009), 1092-1096. Zbl 1162.93030, MR 2535934, 10.1016/j.automatica.2008.12.004
Reference: [12] Yan, X., Liu, Y.: New results on global output-feedback stabilization for nonlinear systems with unknown growth rate..J. Contr. Theory Appl. 11 (2013), 401-408. Zbl 1299.93239, MR 3083987, 10.1007/s11768-013-2081-3
Reference: [13] Yang, B., Lin, W.: Further results on global stabilization of uncertain nonlinear systems by output feedback..Int. J. Robust Nonlinear Control 15 (2005), 247-268. Zbl 1078.93059, MR 2125784, 10.1002/rnc.985
Reference: [14] Zhai, J., Qian, C.: Global control of nonlinear systems with uncertain output function using homogeneous domination approach..Int. J. Robust Nonlinear Control 22 (2012), 1543-1561. MR 2970951, 10.1002/rnc.1765
Reference: [15] Zhai, J., Ai, W., Fei, S.: Global output feedback stabilisation for a class of uncertain non-linear systems..IET Contr. Theory Appl. 7 (2013), 305-313. MR 3087469, 10.1049/iet-cta.2011.0505
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