4.4 Article

Finite-time tracking control for strict-feedback nonlinear systems with full state constraints

Journal

INTERNATIONAL JOURNAL OF CONTROL
Volume 92, Issue 6, Pages 1426-1433

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2017.1397290

Keywords

Finite-time; full state constraints; barrier Lyapunov function; backstepping

Funding

  1. National Natural Science Foundation (NNSF) of China [61673243, 61273091, 61303198]
  2. Taishan Scholar Project of Shandong Province of China [TS20120529]
  3. PhD Programs Foundation ofMinistry of Education of China [20123705110002]

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In this paper, an adaptive finite-time controller is considered for a class of strict-feedback nonlinear systems with parametric uncertainties and full state constraints. Novel tan-type barrier Lyapunov functions are proposed to ensure the boundedness of the fictitious state tracking errors. A new tuning function is constructed to eliminate the effect of uncertainties by using the extended finite-time stability condition. It is shown that under the proposed backstepping control scheme the finite-time convergence of system output tracking error to a small set around zero is realised and the full state constraints are not violated. A numerical example is provided to demonstrate the effectiveness of the proposed finite-time control scheme.

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