基于指数型快速终端滑模的有限时间混沌同步

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.

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

In or der to solve the problem of f inite-time sy nchronization fo r chao tic system, exponent ial fastterminal sliding mo de w as designed based on finite-t ime fast convergence of exponent ial sliding at t racto r.A novel sliding mode variable st ructur e cont ro l fo r the sy nchronizat ion of a class of chaot ic systems w aspr opo sed. Resul ts show that variables can reach the sliding mode surface w ith a fast conv erg ence rate inthe f inite t ime and converge at the equilibr ium point f inally ; T he sy stem has a goo d dynamic stability inw hich the sy nchr onizat ion t ime can be calculated, and the chaot ic synchronizat ion problem of f inite-t imeco nverg ence can be solv ed. The feasibility and effect iv ness of this co nt rol st rategy were verified w ith theexample of Chen chaot ic system.