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Synchronizing chaotic systems with parametric uncertainty via a novel adaptive impulsive observer
Author(s) -
Ayati Moosa,
Khaloozadeh Hamid,
Liu Xinzhi
Publication year - 2011
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.341
Subject(s) - synchronizing , control theory (sociology) , parametric statistics , observer (physics) , synchronization (alternating current) , scalar (mathematics) , adaptive control , computer science , chaotic systems , mathematics , interval (graph theory) , chaotic , control (management) , topology (electrical circuits) , artificial intelligence , statistics , physics , geometry , combinatorics , quantum mechanics
This paper proposes a new class of observers, called adaptive impulsive observers. These observers are capable of estimating the states and unknown parameters of an uncertain system using the output of the system at discrete jump times only. Through a proposed theorem, the stability of the states estimation error system is proved and an upper bound on the maximum possible impulses (jumps) interval is given. Due to these advantages, the proposed adaptive impulsive observer is used in a chaotic systems synchronization scheme. The presented simulation results show the effectiveness of the proposed observer even when the coupling signal is scalar.Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society