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Local robust stability of mrac under persistent excitation assumption
Author(s) -
Janecki Dariusz
Publication year - 1994
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480080203
Subject(s) - control theory (sociology) , adaptive control , bounded function , excitation , stability (learning theory) , mathematics , exponential stability , robust control , computer science , control system , engineering , physics , control (management) , mathematical analysis , nonlinear system , artificial intelligence , quantum mechanics , machine learning , electrical engineering
In this paper the local robust stability of model reference adaptive control for time‐varying plants with unmodelled dynamics under the persistent excitation condition is studied. It is shown that for arbitrary initial conditions of the adaptive system all signals in the adaptive loop are bounded if the command input is persistently exciting and the plant parameter variation and the magnitude of the unmodelled component are sufficiently small in the mean.