TY - JOUR
T1 - Design of a nonlinear controller and its intelligent optimization for exponential synchronization of a new chaotic system
AU - Pérez-Cruz, J. Humberto
AU - Portilla-Flores, Edgar Alfredo
AU - Niño-Suárez, Paola Andrea
AU - Rivera-Blas, R.
N1 - Publisher Copyright:
© 2016 Elsevier GmbH
PY - 2017/2/1
Y1 - 2017/2/1
N2 - This paper deals with the synchronization problem of two chaotic systems in a master-slave configuration. The two systems are based on a new chaotic system recently reported by Akgul and Pehlivan in [1]. The global and exponential convergence to zero of the synchronization error is guaranteed by means of a nonlinear controller designed from the Lyapunov stability theory. In order to find the appropriate parameters of this controller, the compromise between magnitude of control signal and convergence speed is quantified by using a quadratic performance index. Next, such index is minimized via four different intelligent optimization algorithms: differential evolution, brain storm, cuckoo search, and harmony search. These four algorithms are exhaustively tested and the results are systematically compared. Finally, the performance of the optimized nonlinear controller is showed graphically.
AB - This paper deals with the synchronization problem of two chaotic systems in a master-slave configuration. The two systems are based on a new chaotic system recently reported by Akgul and Pehlivan in [1]. The global and exponential convergence to zero of the synchronization error is guaranteed by means of a nonlinear controller designed from the Lyapunov stability theory. In order to find the appropriate parameters of this controller, the compromise between magnitude of control signal and convergence speed is quantified by using a quadratic performance index. Next, such index is minimized via four different intelligent optimization algorithms: differential evolution, brain storm, cuckoo search, and harmony search. These four algorithms are exhaustively tested and the results are systematically compared. Finally, the performance of the optimized nonlinear controller is showed graphically.
KW - Chaos synchronization
KW - Intelligent optimization
KW - Master-slave configuration
KW - Nonlinear control
UR - http://www.scopus.com/inward/record.url?scp=84995770361&partnerID=8YFLogxK
U2 - 10.1016/j.ijleo.2016.10.140
DO - 10.1016/j.ijleo.2016.10.140
M3 - Artículo
SN - 0030-4026
VL - 130
SP - 201
EP - 212
JO - Optik
JF - Optik
ER -