Title :
Synchronization of different fractional-ordered chaotic systems using optimized active control
Author :
Behinfaraz, Reza ; Badamchizadeh, Mohammad Ali
Author_Institution :
Fac. of Electr. & Comput. Eng., Univ. of Tabriz, Tabriz, Iran
Abstract :
This paper investigates the synchronization of two different fractional-order chaotic systems with optimized active controller. Based on some properties on fractional calculus and particle swarm optimization (PSO) algorithm we propose a new method to achieve the synchronization between two different fractional-order systems. For synchronization of two systems nonlinear feedback control is proposed based on the concept of active control technique. The analytical conditions for converging synchronization´s errors of these different fractional-order systems are derived by utilizing Laplace transform. We present an example and by comparing with general active control method synchronization, performance of proposed method is shown.
Keywords :
Laplace transforms; calculus; chaos; feedback; nonlinear control systems; particle swarm optimisation; synchronisation; Laplace transform; PSO; active control; fractional calculus; fractional-ordered chaotic system synchronization; nonlinear feedback control; particle swarm optimization; Chaos; Convergence; Laplace equations; Particle swarm optimization; Sociology; Statistics; Synchronization; Active control; Fractional-order chaotic system; Laplace transform; Particle swarm optimization;
Conference_Titel :
Modeling, Simulation, and Applied Optimization (ICMSAO), 2015 6th International Conference on
Conference_Location :
Istanbul
DOI :
10.1109/ICMSAO.2015.7152256