具有非匹配不确定性混沌系统有限时间同步的滑模控制(英文)

Finite-time Synchronization of a Class of Chaotic Systems with Unmatched Uncertainties Via Sliding Mode Technique

本文针对具有非匹配不确定性的混沌系统,提出一种终端滑模同步控制实现混沌系统的有限时间同步.首先给出了一种新的非奇异的terminal滑动模面的设计方法,使得系统可在有限时间内收敛到平衡点,接着系统在终端滑模控制器的作用下最终能到达滑模面.最终建立了同步精确度范围和非匹配不确定性范围和终端滑模参数之间的数学关系.

In this paper, the problem of finite-time chaos synchronization of two chaotic systems with unmatched uncertainties is presented by using a terminal sliding mode controller. First a new nonsingular terminal sliding surface is introduced and ensure the system convergence to the zero equilibrium point in finite-time. Then a terminal sliding mode controller is designed to drive the system state variables to reach and retain in the terminal sliding mode. The mathematical relationship between the neighborhood of the equilibrium point and the range of the unmatched uncertainties and parameters of the sliding mode is formulated.