The tracking and synchronization problem of uncertain chaotic system, which is considered to be applied in secure communication in the future by many researchers, is considered in this paper. A double integral sliding mode controller is adopted to cope with the uncertainties of the chaotic system. Adaptive and robust strategies, such as Nussbaum gain method, are used to solve the unmodeled dynamic problem and unknown control direction problem. Meanwhile, the stability of the whole system is guaranteed by constructing of a big Lyapunov function for the whole system. Finally, a four dimension super-chaotic system is used as an example to do the numerical simulation and it testifies the rightness and effectiveness of the proposed method.
Publié le : 2014-02-24
Classification:  Synchronization, adaptive, chaos, unknown control direction
@article{cai2166,
     author = {Junwei Lei; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai and Hongchao Zhao; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai and Jinyong Yu; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai and Zuoe Fan; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai and Heng Li; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai and Kehua Li; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai},
     title = {Research on Tracking and Synchronization of Uncertain Chaotic Systems},
     journal = {Computing and Informatics},
     volume = {33},
     number = {1},
     year = {2014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/cai2166}
}
Junwei Lei; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai; Hongchao Zhao; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai; Jinyong Yu; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai; Zuoe Fan; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai; Heng Li; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai; Kehua Li; Naval Aeronautical and Astronautical University, No 188 Road 2 Zhifu District, 264001 Yantai. Research on Tracking and Synchronization of Uncertain Chaotic Systems. Computing and Informatics, Tome 33 (2014) no. 1, . http://gdmltest.u-ga.fr/item/cai2166/