Brief Adaptive control for linear slowly time-varying systems using direct least-squares estimation

  • Authors:

  • D. Dimogianopoulos;R. Lozano

  • Affiliations:

  • Centre de Recherches de Royallieu, Université de Technologie de Compiègne, Heudiasyc-UMR - CNRS 6599, BP 20529, 60205 Compiegne Cedex, France;Centre de Recherches de Royallieu, Université de Technologie de Compiègne, Heudiasyc-UMR - CNRS 6599, BP 20529, 60205 Compiegne Cedex, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

In this paper, we propose a least-squares-based non-recursive identification algorithm capable of dealing with slowly time-varying parameters. The minimized criterion is an L"2 norm of the identification error with forgetting factor. The proposed estimation algorithm does not require explicit knowledge on the noise bound or the region where the true parameters lie. Finally, a pole placement hybrid controller is designed and the system's state is shown to be bounded.