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Stability analysis of adaptive systems: An Approach based on controller structure optimality
Author(s) -
Ortega R.
Publication year - 1988
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660090108
Subject(s) - control theory (sociology) , controller (irrigation) , stability (learning theory) , quadratic equation , mathematics , perspective (graphical) , adaptive control , mathematical optimization , computer science , linear system , optimal control , control (management) , artificial intelligence , mathematical analysis , geometry , machine learning , agronomy , biology
In this paper we approach the problem of establishing stability conditions for adaptive controllers from a different perspective: namely, we are interested in knowing when a controller structure that minimizes a linear quadratic criterion can be adaptively implemented to ensure global stability. The main result is the proof that, for systems of relative degree zero, controller structures that solve the linear quadratic optimal control (LQOC) problem 1 are globally stable when the parameters are adaptively updated. Interestingly enough, no positive realness or matchability assumption is required to establish the result.