Multiple model adaptive control. Part 1: Finite controller coverings

B. D.O. Anderson, T. S. Brinsmead, F. De Bruyne, J. Hespanha, D. Liberzon, A. S. Morse

Research output: Contribution to journalArticlepeer-review


We consider the problem of determining an appropriate model set on which to design a set of controllers for a multiple model switching adaptive control scheme. We show that, given mild assumptions on the uncertainty set of linear time-invariant plant models, it is possible to determine a finite set of controllers such that for each plant in the uncertainty set, satisfactory performance will be obtained for some controller in the finite set. We also demonstrate how such a controller set may be found. The analysis exploits the Vinnicombe metric and the fact that the set of approximately band- and time-limited transfer functions is approximately finite-dimensional.

Original languageEnglish (US)
Pages (from-to)909-929
Number of pages21
JournalInternational Journal of Robust and Nonlinear Control
Issue number11
StatePublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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