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Adaptive techniques for the MRAC, adaptive parameter identification, and on‐line fault monitoring and accommodation for a class of positive real infinite dimensional systems
Author(s) -
Demetriou Michael A.,
Ito Kazufumi,
Smith Ralph C.
Publication year - 2009
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.1058
Subject(s) - control theory (sociology) , adaptive control , fault detection and isolation , accommodation , observer (physics) , identification (biology) , perturbation (astronomy) , stability (learning theory) , reference model , computer science , fault (geology) , estimation theory , adaptive system , mathematics , algorithm , control (management) , artificial intelligence , physics , botany , quantum mechanics , neuroscience , machine learning , seismology , actuator , biology , geology , software engineering
A theoretical framework of the model reference adaptive control design, adaptive parameter identification and automated fault detection is developed for a class of positive real infinite dimensional systems. Uncertain terms are treated as additive perturbations of the plant operator and the framework provides a unified treatment for model reference control, parameter estimation and fault detection and accommodation. For each design problem the well‐posedness and stability of the proposed adaptive scheme are investigated. Extensions to the variable structure observer, to specific forms of the structured perturbation terms and to slowly time‐varying systems are also considered within the proposed framework. Such results are summarized as they capitalize on the proposed well‐posedness and stability results for the general cases. Copyright © 2008 John Wiley & Sons, Ltd.