| 引用本文: | 戴喜生,贺俊,周如胜.具多项式增长的抛物分布参数系统事件触发采样迭代学习控制[J].控制理论与应用,2025,42(7):1435~1442.[点击复制] |
| DAI Xi-sheng,HE Jun,ZHOU Ru-sheng.Event-triggered sampled-data iterative learning control for parabolic distributed parameter systems with polynomial growth[J].Control Theory & Applications,2025,42(7):1435~1442.[点击复制] |
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| 具多项式增长的抛物分布参数系统事件触发采样迭代学习控制 |
| Event-triggered sampled-data iterative learning control for parabolic distributed parameter systems with polynomial growth |
| 摘要点击 2758 全文点击 237 投稿时间：2023-12-04 修订日期：2025-03-26 |
| 查看全文 查看/发表评论 下载PDF阅读器 HTML |
| DOI编号 10.7641/CTA.2024.30783 |
| 2025,42(7):1435-1442 |
| 中文关键词 迭代学习控制 数据采样 事件触发 多项式增长 分布参数系统 |
| 英文关键词 iterative learning control sampled-data event-triggered polynomial growth distributed parameter systems |
| 基金项目 国家自然科学基金项目(62363002, 61863004)资助. |
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| 中文摘要 |
| 针对具有多项式增长的非线性抛物分布参数系统的输出轨迹跟踪问题, 本文提出了一种基于事件触发策
略的采样迭代学习控制方法. 首先, 使用Young’s不等式分析多项式项, 得到关于多项式函数的约束不等式. 然后, 基
于类Lyapunov方法和阈值触发机制, 设计了一种带触发强度因子的混合事件触发条件, 并给出了相应的P型事件触
发采样迭代学习控制算法. 利用压缩映射原理分析了输出误差在采样时刻的收敛性, 建立了在采样时刻的输出误
差沿迭代方向收敛到零的充分条件. 最后, 给出了控制算法的流程, 并通过数值仿真验证了本文所给算法的有效性. |
| 英文摘要 |
| For the output trajectory tracking problem of nonlinear parabolic distributed parameter systems with polynomial growth, an sampled-data iterative learning control method based on event-triggered strategy is proposed. Firstly,
the polynomial term is analyzed using Young’s inequality, and a constraint inequality about the polynomial function is
obtained. Then, a mixed event-triggered condition with a trigger strength factor is designed based on the Lyapunov-like
method and the threshold trigger mechanism, and the corresponding P-type event-triggered sampled-data iterative learning
control algorithm is given. The convergence of the output error at the sampling instant is analyzed by using the compression
mapping principle, and a sufficient condition is established for the output error at the sampling instant to converge to zero
along the iterative direction. Finally, the flow of the control algorithm is given, and the effectiveness of the algorithm given
in this paper is verified by numerical simulation. |
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