A Robust Direct Adaptive Controller

Petros A. Ioannou, Kostas S. Tsakalis

Research output: Contribution to journalArticle

322 Scopus citations

Abstract

This paper proposes a new direct adaptive control algorithm which is robust with respect to additive and multiplicative plant unmodeled dynamics. The algorithm is designed based on the reduced-order plant, which is assumed to be minimum phase and of known order and relative degree, but is analyzed with respect to the overall plant which, due to the unmodeled dynamics, may be nonminimum phase and of unknown order and relative degree. It is shown that if the unmodeled dynamics are sufficiently small in the low-frequency range, then the algorithm guarantees boundedness of all signals in the adaptive loop and “small” residual tracking errors for any bounded initial conditions. In the absence of unmodeled dynamics, the residual tracking error is shown to be zero.

Original languageEnglish (US)
Pages (from-to)1033-1043
Number of pages11
JournalIEEE Transactions on Automatic Control
Volume31
Issue number11
DOIs
StatePublished - Nov 1986
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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