Brief Adaptive control for output feedback nonlinear systems in the presence of modeling errors

  • Authors:
  • Julian Stoev;Jin Young Choi;Jay Farrell

  • Affiliations:
  • School of Electrical Engineering, Seoul National University, Seoul 151-742, South Korea;School of Electrical Engineering, Seoul National University, Seoul 151-742, South Korea;Department of Electrical Engineering, University of California, Riverside, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2002

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Abstract

The paper is extending output feedback nonlinear control and backstepping approaches to a class of systems approximately diffeomorphic to output feedback systems that include unknown functions. The unknown functions are addressed via online function approximation, which results in two types of uncertainty. Parametric uncertainty due to online function approximation and non-parametric uncertainty. The non-parametric uncertainty results from the inability of any function approximator to perfectly model an unknown function and from terms unmodeled by the output feedback form. The non-parametric terms are assumed to be bounded by unknown constants. The backstepping procedure is applied to adapt with respect to both parametric uncertainties and the upper bound on the non-parametric uncertainties.