基于指数型快速终端滑模的有限时间混沌同步

Chaotic synchronization problem of finite-time convergence based on exponential fast terminal sliding mode

为了解决混沌同步有限时间的实现问题,基于指数终端吸引子的有限时间快速收敛特性,设计了指数型快速终端滑模,并将其引入到一类混沌系统中,提出了一种新的滑模变结构控制,以实现该类混沌系统的状态同步。系统状态变量能以较快的速度在有限时间内到达各级滑模面,最终使系统状态收敛到平衡点。系统具有良好的动态性能,同步时间可以估计和控制,且实现了混沌系统的有限时间完全同步。以Chen混沌系统为例研究验证同步策略的可行性和有效性。

In order to solve the problem of finite-time synchronization for chaotic system,exponential fast terminal sliding mode was designed based on finite-time fast convergence of exponential sliding attractor. A novel sliding mode variable structure control for the synchronization of a class of chaotic systems was proposed. Results show that variables can reach the sliding mode surface with a fast convergence rate in the finite time and converge at the equilibrium point finally; The system has a good dynamic stability in which the synchronization time can be calculated, and the chaotic synchronization problem of finite-time convergence can be solved. The feasibility and effectivness of this control strategy were verified with the example of Chen chaotic system.