Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays

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 propos...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2007-12, Vol.52 (12), p.2360-2365
Main Authors: Yoo, Sung Jin, Park, Jin Bae, Choi, Yoon Ho
Format: Article
Language:English
Subjects:
Adaptative systems
Adaptive control
Adaptive control systems
Applied sciences
Backstepping
Computer science
control theory
systems
Control surfaces
Control system synthesis
Control systems
Control theory. Systems
Delay effects
Differential scanning calorimetry
Dynamic surface control (DSC)
Dynamical systems
Exact sciences and technology
Nonlinear control systems
Nonlinear dynamical systems
Nonlinear dynamics
Nonlinear systems
nonlinear time delay system
parametric uncertainty
Programmable control
Robust control
System theory
Time delay
Uncertainty
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Summary: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 ldquoexplosion of complexityrdquo 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.910715