浙江大学学报（理学版）2026，Vol.53Issue(3)：347-354,8.DOI:10.3785/1008-9497.25155
一个新混沌系统的复杂性分析与同步控制
Complexity analysis and synchronization control of a new chaotic system
摘要
Abstract
This paper introduces a three-dimensional chaotic system derived from the attitude dynamics model in the satellite inertial coordinate system,which is distinguished by three adjustable parameters and four nonlinear terms.The complex dynamical behaviors and synchronization control of the system are investigated.By applying chaos theory we analyze the system's chaotic characteristics.To achieve chaos synchronization,we design two distinct control schemes based on foundational theoretical frameworks.A sliding mode controller is constructed utilizing Vaidyanathan theory,while an adaptive controller is developed based on Lyapunov stability theory.The results show that the system exhibits rich chaotic behaviors and possesses multiple unstable regions.Both two schemes guarantee global asymptotic synchronization,with computer simulations showing the adaptive controller's superior performance in convergence speed and control smoothness.关键词
卫星混沌系统/Lyapunov稳定性/滑模控制/自适应控制Key words
satellite chaotic system/Lyapunov stability/sliding mode control/adaptive control分类
数理科学引用本文复制引用
江巧晴,张付臣,肖敏..一个新混沌系统的复杂性分析与同步控制[J].浙江大学学报（理学版）,2026,53(3):347-354,8.基金项目
国家自然科学基金项目(62073172) （62073172）
江苏省自然科学基金项目(BK20221329) （BK20221329）
重庆工商大学研究生教育教学改革项目(24YJG307) （24YJG307）
重庆市高等教育教学改革研究项目(253156) （253156）
重庆市教育委员会人文社会科学研究项目(21SKSZ034) （21SKSZ034）
"成渝地区双城经济圈建设"科技创新专项(KJCX2020037). （KJCX2020037）
