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An optimal approach to synchronize non‐identical chaotic circuits: An experimental study
Author(s) -
Naseh Majid Reza,
Haeri Mohammad
Publication year - 2011
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.678
Subject(s) - synchronizing , control theory (sociology) , synchronization (alternating current) , chaotic , electronic circuit , controller (irrigation) , computer science , sliding mode control , synchronization of chaos , chaotic systems , limiting , chen , control (management) , control engineering , engineering , nonlinear system , physics , artificial intelligence , transmission (telecommunications) , channel (broadcasting) , agronomy , quantum mechanics , electrical engineering , biology , mechanical engineering , telecommunications , computer network , paleontology
The control signal magnitude and energy are among the limiting and therefore important factors to be addressed in the practical applications of a synchronization scheme. In this paper, we present an algorithm to find control parameters in an active sliding mode controller in order to reduce the control effort in synchronizing non‐identical chaotic systems. We also determine uncertainties bound on the systems dynamics for which the calculated control parameters still guarantee the occurrence of the sliding motion of the error states. The proposed controller was practically applied on an experimental setup, consisting of two chaotic circuits, which resembles Chen and Lu systems behavior. Experimental results confirm our theoretical reasoning as well as the effectiveness of the proposed control design technique. Copyright © 2010 John Wiley & Sons, Ltd.