Averaging analysis of discrete-time indirect adaptive control.

Stephen Phillips, Robert L. Kosut, Gene F. Franklin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


An averaging analysis of indirect, discrete-time, adaptive control systems is presented. The analysis results in a signal-dependent stability condition and accounts for unmodeled plant dynamics as well as exogenous disturbances. This analysis is applied to two discrete-time adaptive algorithms: an unnormalized gradient algorithm and a recursive least-squares (RLS) algorithm with resetting. Since linearization and averaging are used for the gradient analysis, a local stability result valid for small adaptation gains is found. For RLS with resetting, the assumption is that there is a long time between resets. The results for the two algorithms are virtually identical, emphasizing their similarities in adaptive control.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Number of pages6
Volume88 pt 1-3
StatePublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering


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