安徽大学学报（自然科学版）2024，Vol.48Issue(3)：25-32,8.DOI:10.3969/j.issn.1000-2162.2024.03.004
变分数阶不确定混沌系统的有限时间自适应滑模投影同步
Finite-time adaptive sliding mode projective synchronization of variable fractional order uncertain chaotic systems
摘要
Abstract
The problem of finite-time adaptive sliding mode projective synchronization of variable fractional order uncertain chaotic systems was investigated.Using the properties of variable fractional order calculus,the finite-time convergence principle of variable fractional order was established.The sufficient conditions for finite-time projective synchronization of variable fractional order uncertain chaotic systems were obtained by designing variable fractional order sliding mode surface and adaptive sliding mode controller.The upper bound of projective synchronization time was derived.The simulation results demonstrated the effectiveness and robustness of the controller designed in this paper.关键词
变分数阶混沌系统/滑模控制/自适应控制/有限时间同步Key words
variable fractional order chaotic system/sliding mode control/adaptive control/finite-time synchronization分类
数理科学引用本文复制引用
章安,郑永爱..变分数阶不确定混沌系统的有限时间自适应滑模投影同步[J].安徽大学学报（自然科学版）,2024,48(3):25-32,8.基金项目
国家自然科学基金资助项目(61973266) （61973266）
