Unconditional stabilizers for nonminimum phase systems

  • Ph. de Larminat
Methods In Adaptive Control
First Online:
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 24)

Abstract

The overall stability of certain self-adaptive systems has not been demonstrated until now, except in a few particular cases, generally limited to monovariable and/or minimum-phase systems. It is shown here that a large class of identification methods can be associated with a very large class of control methods in order to perform the unconditional stabilization of deterministic linear systems.

Keywords

Control Method Unit Circle Identification Algorithm Unconditional Stabilizer State Feedback Stabilization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    DE LARMINAT, Ph., and JEANNEAU, J.L. Metodo de regulacion adaptativa para sistemas de fase no minima. 3e Congreso nacional informatica y automatica, Madrid, 1975.Google Scholar
  2. [2]
    DE LARMINAT, Ph. "Quelques considérations sur certains systèmes autoadaptatifs et leur stabilité globale inconditionnelle" Ecole d'été d'analyse numérique EDF, IRIA, CEA. Juin–Juillet 1978.Google Scholar
  3. [3]
    DE LARMINAT, Ph. On overall stability of certain adaptive control systems. 5th IFAC Symp. on identification and system parameter estimation. Darmstadt, Sept. 24–28, 1979.Google Scholar
  4. [4]
    DE LARMINAT, Ph. A theorem for the analysis of the unconditional overall stability of M.R.A.S. INFO II CONF. PATRAS, 1979.Google Scholar
  5. [5]
    GOODWIN, G.C., RAMADGE, P.J., CAINES, P.E. "Discrete time stochastic adaptive control" Univ. of Newcastle, Australia, Dec. 1978.Google Scholar
  6. [6]
    NARENDRA, K.S., LIN, Y.M., VALAVANI, L.S. "Stable adaptive controller design, Part II: Proof of stability" Report 7904, Yale Univ., April 1979.Google Scholar
  7. [7]
    LANDAU, I.D., LOZANO, R. Design and evaluation of discrete time explicit M.R.A.C. for tracking and regulation. Note interne LA6, 79.14, Grenoble, Juin 1979.Google Scholar
  8. [8]
    FUCHS, J.J. Commande adaptative directe des systèmes linéaires discrets. Thèse D.E. Univ. de Rennes, France, 6 déc. 1979.Google Scholar
  9. [9]
    DE LARMINAT, Ph. Systèmes autoadaptatifs avec modèle de référence et régulateurs autoaccordables. Approache unifiée. Introduction à leur stabilité globale inconditionnelle. 4e Congreso Informatica y Automatica. Madrid 16/19 octobre 1979.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Ph. de Larminat
    • 1
  1. 1.Laboratoire d'Automatique de l'E.N.S.M. (Equipe de Recherche associée au C.N.R.S.)Nantes CedexFrance

Personalised recommendations