Open AccessHigh-gain reduced-order observer-based synchronization for a kind of uncertain chaotic system
Author(s) -
Danxiang Han,
Fanglai Zhu
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.120513
Subject(s) - observer (physics) , synchronization (alternating current) , computer science , control theory (sociology) , chaotic , matching (statistics) , signal (programming language) , chaos (operating system) , state observer , nonlinear system , mathematics , control (management) , artificial intelligence , physics , telecommunications , channel (broadcasting) , statistics , computer security , quantum mechanics , programming language
In this paper we consider the issues of chaos synchronization and chaos-based secure communication when the so-called observer matching condition is not satisfied. An auxiliary drive signal vector is introduced such that the observer matching condition is satisfied. High-gain observers are employed to estimate the auxiliary drive signals as well as their derivatives in a finite time by using the drive signals of original system. Then, a kind of reduced-order observer is constructed which can directly eliminate the influence of the non-linear part and the disturbances of the system. Based on the estimates of states as well as the estimates of the auxiliary signals and their derivatives, a kind of message information recovery method is proposed. Finally, the Rössler chaotic system is used as a simulation example to verify the effectiveness of the proposed method.