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Simple output feedback adaptive control based on passification principle
Author(s) -
Bobtsov A.A.,
Pyrkin A.A.,
Kolyubin S.A.
Publication year - 2013
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.2402
Subject(s) - control theory (sociology) , nonlinear system , simple (philosophy) , constraint (computer aided design) , position (finance) , stability (learning theory) , bounded function , class (philosophy) , exponential stability , control (management) , adaptive control , computer science , mathematics , mathematical analysis , philosophy , physics , geometry , epistemology , finance , quantum mechanics , artificial intelligence , machine learning , economics
SUMMARY This paper deals with the output stabilization of time‐delay systems with sector‐bounded nonlinearity and disturbance. In this paper, we will consider the problem of absolute stability for a time‐delay systems class, which can be represented as a feedback connection of a linear dynamical system with unknown parameters and an uncertain nonlinearity satisfying a sector constraint. Control algorithm providing exponential stability of equilibrium position without disturbance and L ∞ ‐stability for disturbed systems is proposed for a class of output. Obtained results are validated with the aid of computer simulation of the two‐stage chemical reactor control. Copyright © 2013 John Wiley & Sons, Ltd.