| 引用本文: | 鲜永菊,夏诚,徐昌彪.新混沌系统及其分数阶系统的自适应同步控制[J].控制理论与应用,2018,35(6):878~886.[点击复制] |
| XIAN yong-ju,XIA Cheng,XU Chang-biao.New chaotic system and the adaptive synchronization control of its fractional order system[J].Control Theory and Technology,2018,35(6):878~886.[点击复制] |
|
| 新混沌系统及其分数阶系统的自适应同步控制 |
| New chaotic system and the adaptive synchronization control of its fractional order system |
| 摘要点击 2716 全文点击 1407 投稿时间：2017-08-12 修订日期：2017-12-05 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2017.70567 |
| 2018,35(6):878-886 |
| 中文关键词 混沌系统 分数阶系统 共存吸引子 自适应同步控制 |
| 英文关键词 chaotic system fractional order system coexisting attractors adaptive synchronization control |
| 基金项目 国家自然科学基金青年科学基金(批准号: 61602073)资助的课题. |
|
| 中文摘要 |
| 研究一个存在共存吸引子的混沌系统及相应的分数阶系统的自适应同步问题. 首先, 提出了一个新的具有双翼和四翼吸引子共存的混沌系统, 对系统的动力学特性进行了分析, 找到了系统的拓扑马蹄和拓扑熵, 从而验证了系统具有混沌特性; 然后, 根据该系统构建了一个亦存在两个孤立的双翼吸引子以及四翼吸引子的分数阶系统.最后, 采用分数阶Lyapunov稳定性理论以及自适应控制方法, 对分数阶系统的自适应同步问题进行了研究. 仿真结果表明, 控制参数k越大, 系统同步速度越快; 控制参数λ越大, 系统参数识别的速度越快. |
| 英文摘要 |
| A novel chaotic system with coexisting attractors and the adaptive synchronization control of the corresponding fractional order chaotic system are studied. Firstly, a novel chaotic system with coexisting attractors of double-wing and four-wing is proposed. The dynamic characteristics of the system are analyzed, and the topological horseshoe and topological entropy of the system are found, which verifies that the system is chaotic. Secondly, a fractional order system with two isolated double-wing and four-wing attractors is constructed based on this system. Finally, the adaptive synchronization problem of the fractional order system is investigated by means of fractional order Lyapunov stability theory and adaptive control method. Simulation results show that the larger the control parameter k, the faster the system synchronization speed, and the larger the control parameter λ, the faster the identification of the system parameters. |
|
|
|
|
|