Adaptive backstepping synchronization between chaotic systems with unknown Lipschitz constant

作者：

Highlights：

• A method of synchronous control between two nonlinear systems with unknown Lipschitz constants of nonlinear terms is given.

• A broad applicable method suitable for many nonlinear systems is presented via self adaptive design for unknown parameters.

• Low-dimension, even scalar controller can be obtained by this method owing to the backstepping design philosophy.

摘要

•A method of synchronous control between two nonlinear systems with unknown Lipschitz constants of nonlinear terms is given.•A broad applicable method suitable for many nonlinear systems is presented via self adaptive design for unknown parameters.•Low-dimension, even scalar controller can be obtained by this method owing to the backstepping design philosophy.

论文关键词：Chaos synchronization,Lipschitz constant,Uncertainty,Backstepping,Adaptive

论文评审过程：Available online 3 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.012