Title :
A discrete approach to the control and synchronization of a class of chaotic oscillators
Author :
Gonzalez, Jesus ; Femat, Ricardo ; Alvarez-Ramirez, Jose ; Aguilar, Ricardo ; Barron, Miguel
Author_Institution :
Div. de Ciencias Basicas e Ingenieria, Univ. Autonoma Metropolitana, Mexico City, Mexico
fDate :
9/1/1999 12:00:00 AM
Abstract :
This work deals with the control and synchronization of chaotic systems. In the first part of the work, a general discrete-time strategy is developed to control a class of second-order uncertain nonlinear systems. The proposed strategy is based on an iterative procedure, borrowed from contraction map methodologies, and provides estimates of unmeasured states and modeling errors. Nonidentical chaotic systems can be synchronized by means of the proposed strategy. By assuming that the exact model of the oscillators is not known and that position is the only state available for measurements, the robust synchronization scheme comprises a recursive feedback-control law. Computer simulations are provided to illustrate the operation of the designed synchronization scheme
Keywords :
chaos; chaos generators; closed loop systems; discrete time systems; feedback; iterative methods; nonlinear systems; oscillators; stability; synchronisation; chaotic oscillators; contraction map methodologies; control; discrete-time strategy; iterative procedure; modeling errors estimation; nonidentical chaotic systems; recursive feedback-control law; robust synchronization scheme; second-order uncertain nonlinear systems; synchronization; unmeasured states estimation; Chaos; Computer errors; Control systems; Iterative methods; Nonlinear control systems; Nonlinear systems; Oscillators; Position measurement; Robustness; State estimation;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
