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
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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 -