CAJ | 학술논문

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。
본문침대구유비필배불학정성적혼돈계통，제출일충종단활모동보공제실현혼돈계통적유한시간동보。수선급출료일충신적비기이적terminal활동모면적설계방법，사득계통가재유한시간내수렴도평형점，접착계통재종단활모공제기적작용하최종능도체활모면。최종건립료동보정학도범위화비필배불학정성범위화종단활모삼수지간적수학관계。
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.