Adaptive systems and time varying plants

Brian D. Anderson*, Richard I. Johnstone

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)

Abstract

The behaviour of four adaptive algorithms—LMS, equation error, output error identification and the Goodwin-Kamadge-Caines adaptive control algorithm—are examined in the face of plant parameter variations. The key point to note is that persistency of excitation conditions in the time invariant parameter case guarantees exponential convergence. Then standard and newly developed Lyapunov stability results allow us to guarantee tracking error and parameter error boundedness when the plant parameters are actually time varying.

Original languageEnglish
Pages (from-to)367-377
Number of pages11
JournalInternational Journal of Control
Volume37
Issue number2
DOIs
Publication statusPublished - Feb 1983

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