Adaptive control of linear time-varying plants

Kostas Tsakalis, Petros Ioannou

Research output: Contribution to journalArticle

69 Scopus citations

Abstract

In this paper the model reference adaptive control (MRAC) problem of a class of linear time-varying (LTV) plants is considered. The plant parameters are assumed to be smooth, bounded functions of time which satisfy the usual assumptions of MRAC for time-invariant plants, at each frozen time instant. It is first shown that if the plant parameters are sufficiently slowly varying with time, a control parameter vector with smooth elements exists, such that the closed-loop plant behaves almost like a linear time-invariant reference model. The robust adaptive law proposed in Ioannou and Tsakalis (1986) IEEE Trans. Aut. Control, AC-31, 1033 is then used to adjust the controller parameters and establish boundedness of all signals in the adaptive loop for any bounded initial conditions. It is shown that the bound for the residual tracking error depends on the speed of the plant parameter variations in such a way that as these parameters become constant the bound reduces to zero.

Original languageEnglish (US)
Pages (from-to)459-468
Number of pages10
JournalAutomatica
Volume23
Issue number4
DOIs
StatePublished - Jul 1987
Externally publishedYes

Keywords

  • Adaptive system
  • Lyapunov methods
  • differential operators
  • model reference adaptive control
  • robust adaptive law
  • time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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