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Discrete‐time periodic adaptive control for parametric systems with non‐sector nonlinearities
Author(s) -
Yu Miao,
Xu JianXin,
Huang Deqing
Publication year - 2014
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.2422
Subject(s) - parametric statistics , control theory (sociology) , discrete time and continuous time , nonlinear system , lyapunov function , adaptive control , logarithm , mathematics , computer science , control (management) , mathematical analysis , statistics , physics , quantum mechanics , artificial intelligence
SUMMARY In this paper, a periodic adaptive control approach is proposed for a class of discrete‐time parametric systems with non‐sector nonlinearities. The proposed periodic adaptive control law is characterized by either one‐period delayed parametric updating or two‐period delayed parametric updating when input gain contains periodic unknowns. Logarithmic‐type discrete Lyapunov function is employed to handle the difficulties caused by the uncertainties that do not satisfy the linear growth condition. Some extensions to nonlinear systems with multiple unknown parameters and time‐varying input gain, tracking tasks, as well as higher‐order systems in canonical form, are also discussed. Copyright © 2013 John Wiley & Sons, Ltd.