Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems

作者：Li, Qiaoping^*; Liu, Sanyang

来源：Open Mathematics, 2017, 15(1): 1035-1047.

DOI：10.1515/math-2017-0087

• Finite-time adaptive control
• Modified function projective multi-lag combined synchronization
• Sliding mode variable structure control
• Chaotic systems
• Unknown parameter and disturbance

In this paper, for multiple different chaotic systems with unknown bounded disturbances and fully unknown parameters, a more general synchronization method called modified function projective multi-lag combined synchronization is proposed. This new method covers almost all of the synchronization methods available. As an advantage of the new method, the drive system is a linear combination of multiple chaotic systems, which makes the signal hidden channels more abundant and the signal hidden methods more flexible. Based on the finite-time stability theory and the sliding mode variable structure control technique, a dual-stage adaptive variable structure control scheme is established to realize the finite-time synchronization and to tackle the parameters well. The detailed theoretical derivation and representative numerical simulation is put forward to demonstrate the correctness and effectiveness of the advanced scheme.

• 出版日期2017-8-19
• 单位西安电子科技大学