Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach

Sung Jin Yoo; Jin Bae Park; Yoon Ho Choi

doi:10.1109/cdc.2006.377139

Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach

Sung Jin Yoo, Jin Bae Park, Yoon Ho Choi

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

The dynamic surface control (DSC) method is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to time delay nonlinear systems with linear parametric uncertainties. Thus, the proposed control system can eliminate the problem of "explosion of complexity" inherent in the backstepping design method. Also, by choosing appropriate Lyapunov-Krasovskii functionals, the uncertainties of the unknown time delays can be compensated. In addition, we prove that all the signals in the closed-loop system are semi-globally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3777-3782
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377139
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 2006 Dec 13 → 2006 Dec 15

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	06/12/13 → 06/12/15

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/cdc.2006.377139

Cite this

Yoo, S. J., Park, J. B., & Choi, Y. H. (2006). Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 3777-3782). Article 4177392 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377139

Yoo, Sung Jin ; Park, Jin Bae ; Choi, Yoon Ho. / Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays : Dynamic surface design approach. Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. pp. 3777-3782 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{7dae63955e254dfd8b93ccc3ec62fb77,

title = "Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach",

abstract = "The dynamic surface control (DSC) method is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to time delay nonlinear systems with linear parametric uncertainties. Thus, the proposed control system can eliminate the problem of {"}explosion of complexity{"} inherent in the backstepping design method. Also, by choosing appropriate Lyapunov-Krasovskii functionals, the uncertainties of the unknown time delays can be compensated. In addition, we prove that all the signals in the closed-loop system are semi-globally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.",

author = "Yoo, {Sung Jin} and Park, {Jin Bae} and Choi, {Yoon Ho}",

year = "2006",

doi = "10.1109/cdc.2006.377139",

language = "English",

isbn = "1424401712",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3777--3782",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

address = "United States",

note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

}

Yoo, SJ, Park, JB & Choi, YH 2006, Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177392, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3777-3782, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 06/12/13. https://doi.org/10.1109/cdc.2006.377139

Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach. / Yoo, Sung Jin; Park, Jin Bae; Choi, Yoon Ho.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 3777-3782 4177392 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays

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AB - The dynamic surface control (DSC) method is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to time delay nonlinear systems with linear parametric uncertainties. Thus, the proposed control system can eliminate the problem of "explosion of complexity" inherent in the backstepping design method. Also, by choosing appropriate Lyapunov-Krasovskii functionals, the uncertainties of the unknown time delays can be compensated. In addition, we prove that all the signals in the closed-loop system are semi-globally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.

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Yoo SJ, Park JB, Choi YH. Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc. 2006. p. 3777-3782. 4177392. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/cdc.2006.377139

Robust stabilization of parametric strict-feedback nonlinear systems with unknown time delays: Dynamic surface design approach

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