| 引用本文: | 林茜,吴晓锋,陈云.基于两步控制策略的混沌系统全局有限时间同步[J].控制理论与应用,2018,35(8):1194~1198.[点击复制] |
| LIN Qian,WU Xiao-feng,CHEN Yun.Global finite-time synchronization of chaotic systems based on two-step control strategy[J].Control Theory and Technology,2018,35(8):1194~1198.[点击复制] |
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| 基于两步控制策略的混沌系统全局有限时间同步 |
| Global finite-time synchronization of chaotic systems based on two-step control strategy |
| 摘要点击 2165 全文点击 1008 投稿时间：2016-11-20 修订日期：2018-01-07 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2018.60874 |
| 2018,35(8):1194-1198 |
| 中文关键词 混沌同步 反馈控制器 两步控制 有限时间 |
| 英文关键词 chaos synchronization feedback control two-step control finite time |
| 基金项目 国防科技基金项目(2101133)资助. |
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| 中文摘要 |
| 本文研究了无刷直流电机(brushless direct current motor, BLDCM)混沌系统的全局有限时间同步问题. 利用混
沌吸引子的有界性, 提出了两步控制策略. 首先不施加控制, 让主–从混沌系统各自的轨迹收敛到各自的吸引子中, 并估
计了吸引子的界和收敛时间; 再对收敛到吸引子的从系统施加状态误差反馈控制, 根据有限时间稳定性理论, 得出该控
制器在满足一定条件时, 两个相同的混沌系统可以快速达到有限时间同步. 这种方法在主从系统的初始值相差很大的情
况下可以大大减少控制成本, 并且可以并估计同步时间. 文章最后用仿真结果验证了所得判据的可行性和有效性. |
| 英文摘要 |
| The global finite-time synchronization of brushless direct current motor (BLDCM) systems is investigated.
Firstly, based on the boundedness of the chaotic attractors, the trajectories of the master and slave system would converge
to their attractors respectively and the convergence time is estimated. Then the continuous feedback controller is proposed
and based on the finite-time stability theory, the condition for the fast finite-time synchronization of two identical BLDCM
systems is derived and the synchronization time is well estimated. By this method, the synchronization cost can be reduced
especially when the difference of the initial values of the master and slave system are large. Finally, the effectiveness of the
synchronization criterion is illustrated in numerical examples. |
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