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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Pages3777-3782
Number of pages6
Publication statusPublished - 2006 Dec 1
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 2006 Dec 132006 Dec 15

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period06/12/1306/12/15

Fingerprint

Nonlinear systems
Time delay
Stabilization
Control surfaces
Feedback
Control systems
Backstepping
Closed loop systems
Explosions
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

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). [4177392]
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. 2006. pp. 3777-3782
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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, pp. 3777-3782, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 06/12/13.

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. 2006. p. 3777-3782 4177392.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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. 2006. p. 3777-3782. 4177392