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

Research output: Contribution to journalArticle

220 Citations (Scopus)


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 languageEnglish
Pages (from-to)2360-2365
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number12
Publication statusPublished - 2007 Dec 1


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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