TY - JOUR
T1 - Neural control for synchronization of a chaotic Chua-Chen system
AU - Perez, Jose Humberto
N1 - Publisher Copyright:
© 2003-2012 IEEE.
PY - 2016/8
Y1 - 2016/8
N2 - In this paper, the synchronization problem of a master-slave system composed by a Chua's oscillator as the master and a Chen's oscillator as the slave is considered. Although the states of both systems are available for measurement, a complete lack of knowledge about the parameters of the oscillators is assumed. In order to handle this high uncertainty condition, the proposed design is based on differential neural networks approach. A neural identifier approximates the unknown dynamics of Chen's oscillator by using a stable learning law. The exponential convergence of identification error to a bounded zone is guaranteed by means of a Lyapunov-like analysis. Based on the instantaneous mathematical model of Chen's oscillator provided by the neural identifier, a control law is developed in such a way that Chen's oscillator follows the dynamic behavior of Chua's oscillator. The tracking error converges to a bounded zone and all parameters of this neural controller are guaranteed to be bounded. A numeric example illustrates the feasibility of the proposed approach.
AB - In this paper, the synchronization problem of a master-slave system composed by a Chua's oscillator as the master and a Chen's oscillator as the slave is considered. Although the states of both systems are available for measurement, a complete lack of knowledge about the parameters of the oscillators is assumed. In order to handle this high uncertainty condition, the proposed design is based on differential neural networks approach. A neural identifier approximates the unknown dynamics of Chen's oscillator by using a stable learning law. The exponential convergence of identification error to a bounded zone is guaranteed by means of a Lyapunov-like analysis. Based on the instantaneous mathematical model of Chen's oscillator provided by the neural identifier, a control law is developed in such a way that Chen's oscillator follows the dynamic behavior of Chua's oscillator. The tracking error converges to a bounded zone and all parameters of this neural controller are guaranteed to be bounded. A numeric example illustrates the feasibility of the proposed approach.
KW - adaptive synchronization
KW - chaotic systems
KW - neural networks
UR - http://www.scopus.com/inward/record.url?scp=85007425264&partnerID=8YFLogxK
U2 - 10.1109/TLA.2016.7786335
DO - 10.1109/TLA.2016.7786335
M3 - Artículo
AN - SCOPUS:85007425264
SN - 1548-0992
VL - 14
SP - 3560
EP - 3568
JO - IEEE Latin America Transactions
JF - IEEE Latin America Transactions
IS - 8
M1 - 7786335
ER -