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Asymptotic rejection of nonvanishing disturbances despite plant–model mismatch
Author(s) -
Mullhaupt Ph.,
Valentinotti S.,
Srinivasan B.,
Bonvin D.
Publication year - 2012
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.2292
Subject(s) - parametrization (atmospheric modeling) , control theory (sociology) , polynomial , minification , mathematics , internal model , adaptive control , closed loop , control (management) , computer science , mathematical optimization , engineering , control engineering , mathematical analysis , physics , artificial intelligence , quantum mechanics , radiative transfer
SUMMARY A direct adaptive control methodology for the rejection of unmeasured nonvanishing disturbances is proposed. The approach uses the framework of polynomial RST controllers and relies on the internal model principle with additional degrees of freedom provided by the Q parametrization. The parameters of the Q polynomial are adapted using minimization of the closed‐loop output error. Asymptotic rejection of unmeasured nonvanishing disturbances is guaranteed under the assumption that the closed‐loop plant remains stable. A simulation example illustrates the theoretical developments. Copyright © 2012 John Wiley & Sons, Ltd.