Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays

Sung Jin Yoo; Jin Bae Park; Yoon Ho Choi

doi:10.1109/TAC.2007.910715

Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays

Sung Jin Yoo, Jin Bae Park, Yoon Ho Choi

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

299 Citations (Scopus)

Abstract

The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of "explosion of complexity" inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.

Original language	English
Pages (from-to)	2360-2365
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	12
DOIs	https://doi.org/10.1109/TAC.2007.910715
Publication status	Published - 2007 Dec

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TAC.2007.910715

Cite this

@article{e7bb0cc37e254f13b9c09d88bfeb4ee4,

title = "Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays",

abstract = "The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of {"}explosion of complexity{"} inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.",

keywords = "Dynamic surface control (DSC), Nonlinear time delay system, Parametric uncertainty",

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

year = "2007",

month = dec,

doi = "10.1109/TAC.2007.910715",

language = "English",

volume = "52",

pages = "2360--2365",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

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

number = "12",

}

TY - JOUR

T1 - Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays

AU - Yoo, Sung Jin

AU - Park, Jin Bae

AU - Choi, Yoon Ho

PY - 2007/12

Y1 - 2007/12

N2 - The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of "explosion of complexity" inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.

AB - The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of "explosion of complexity" inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.

KW - Dynamic surface control (DSC)

KW - Nonlinear time delay system

KW - Parametric uncertainty

UR - http://www.scopus.com/inward/record.url?scp=38149096810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149096810&partnerID=8YFLogxK

U2 - 10.1109/TAC.2007.910715

DO - 10.1109/TAC.2007.910715

M3 - Article

AN - SCOPUS:38149096810

SN - 0018-9286

VL - 52

SP - 2360

EP - 2365

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 12

ER -

Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this