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EXPONENTIAL STABILITY AND GUARANTEED TRACKING TIME FOR A CLASS OF MODEL REFERENCE CONTROL SYSTEMS VIA COMPOSITE FEEDBACK CONTROL
Author(s) -
SUN YEONGJEU,
YU GWOJENG,
CHAO YUHSIAO,
HSIEH JERGUANG
Publication year - 1997
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/(sici)1099-1115(199703)11:2<155::aid-acs440>3.0.co;2-g
Subject(s) - control theory (sociology) , reference model , exponential stability , convergence (economics) , stability (learning theory) , tracking (education) , computer science , term (time) , transient (computer programming) , exponential function , control system , control (management) , mathematics , engineering , nonlinear system , artificial intelligence , psychology , pedagogy , physics , software engineering , quantum mechanics , machine learning , economics , economic growth , operating system , mathematical analysis , electrical engineering
In this note the concept of the tracking time, a measure of the transient behaviour, for model reference control systems is introduced. A model reference composite state feedback control is proposed to guarantee the global exponential stability with any pre‐specified convergence rate for a class of model reference control systems with time‐varying delay, matched uncertainties and input non‐linearity. Moreover, an estimate of the tracking time is derived for such systems. A numerical example is also given to illustrate our main result. © 1997 by John Wiley & Sons, Ltd.