分数阶情绪模型的终端滑模控制混沌同步

doi:10.6040/j.issn.1672-3961.0.2016.342

摘要/Abstract

摘要： 应用驱动-响应同步方法,研究一类分数阶情绪模型的终端滑模混沌同步问题。基于Lyapunov稳定性理论和分数阶微积分的相关知识,构造一种非奇异的终端滑模面,通过设计连续的终端滑模控制器,给出主从系统在有限时间内快速实现混沌同步的设计方案。理论分析和仿真计算结果证明了这种控制方法的有效性。

关键词: 分数阶, 情绪模型, 滑模, 混沌同步

Abstract: The problem of terminal sliding model synchronization of fractional-order emotion mode systems was studied based on drive-response approach. Based on Lyapunov stability theory and fractional-order calculus theory, nonsingular sliding mode surface was designed. A designing project for the master-slave systems getting fast speed synchronization in finite-time was given by designing terminal sliding model controllers. Both the theoretical analysis and simulation results illustrated the effectiveness of this control method.

Key words: fractional-order, emotion model, sliding model, chaos synchronization

中图分类号:

O482.4

李庆宾,王晓东. 分数阶情绪模型的终端滑模控制混沌同步[J]. 山东大学学报(工学版), 2017, 47(3): 84-88.

LI Qingbin, WANG Xiaodong. Terminal sliding model control chaos synchronization of fractional-order emotion mode systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 84-88.

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