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On‐line robust parameter identification for parabolic systems
Author(s) -
Demetriou M. A.,
Rosen I. G.
Publication year - 2001
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.693
Subject(s) - distributed parameter system , identification (biology) , projection (relational algebra) , sigma , control theory (sociology) , computer science , adaptation (eye) , estimation theory , scheme (mathematics) , system identification , line (geometry) , identification scheme , mathematics , parabolic partial differential equation , class (philosophy) , algorithm , mathematical analysis , partial differential equation , artificial intelligence , physics , data mining , measure (data warehouse) , botany , optics , biology , control (management) , geometry , quantum mechanics
In this paper a robust scheme for the adaptive parameter identification of parabolic distributed parameter systems is developed. Results from the finite‐dimensional treatment of the parameter projection method and σ (sigma) modifications to the standard adaptation rules are extended to infinite‐dimensional systems. For the class of systems under study, modifications to these standard parameter adaptation rules were deemed necessary in order to account for the additional mathematical subtleties that arise when dealing with infinite‐dimensional systems. Copyright © 2001 John Wiley & Sons, Ltd.