Nonlinear observer for synchronization of chaotic systems with application to secure data transmission
1 Department of Biotechnology and Bioengineering CINVESTAV-IPN, Mexico D.F., Mexico
2 Department of Automatic Control CINVESTAV-IPN, Mexico D.F., Mexico
Received: 21 January 2014
Revised: 10 February 2014
Published online: 19 March 2014
The main issue of this work is related with the design of a class of nonlinear observer in order to synchronize chaotic dynamical systems in a master-slave scheme, considering different initial conditions. The oscillator of Chen is proposed as a benchmark model and a bounded-type observer is proposed to reach synchronicity between both two chaotic systems. The proposed observer contains a proportional and sigmoid form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Some numerical simulations were carrying out in order to show the operation of the proposed methodology, with possible applications to secure data communications issues.
© EDP Sciences, Springer-Verlag, 2014