不确定时变混沌系统的一种自适应无抖振变结构控制

混沌系统的一般变结构控制方法存在高频抖振和需要事先已知系统不确定项的上界等不足，针对这些不足，以一类不确定时变混沌系统为例，提出了自适应无抖振变结构控制（ACFVSC）方法，以控制混沌系统到任意设定轨道.该方法不仅能消除滑模面附近的抖振现象，实现渐近跟踪，而且不需要“不确定项的上界已知”的先验知识.ACFVSC的渐近跟踪分析与仿真结果都表明，只要选择合适的控制器参数，就能在有限时间内达到任意的设定跟踪精度. 关键词： 不确定时变混沌系统 变结构控制 无抖振

An adaptive chattering-free variable structure control method for uncertain time-variant chaotic systems

The conventional variable structure control(VSC) methods for controlling chaos have some drawbacks, such as high_frequency chattering and the need of a prior knowledge about the upper bound of the uncertainty. Trying to solve the drawbacks, we proposed an adaptive chattering free variable structure control(ACFVSC) method for controlling a class of uncertain time variable chaotic systems towards arbitrarily desired trajectory. The ACFVSC method not only eliminates the chattering phenomenon and tracks arbitrarily desired trajectory asymptotically, but also removes the prior knowledge about the upper bound of uncertainty. Both the asymptotic tracking analysis of ACFVSC and simulation results show that the arbitrarily desired tracking accuracy can be achieved within a finite time if the parameter of ACFVSC controller is appropriately set.