| 引用本文: | 张小英,冯红银萍.干扰与控制非同位一维薛定谔方程的输出跟踪（英文）[J].控制理论与应用,2021,38(3):373~379.[点击复制] |
| ZHANG Xiao-ying,FENG Hong-yinping.Output tracking for one-dimensional Schr¨odinger equation with boundary control unmatched disturbance[J].Control Theory and Technology,2021,38(3):373~379.[点击复制] |
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| 干扰与控制非同位一维薛定谔方程的输出跟踪（英文） |
| Output tracking for one-dimensional Schr¨odinger equation with boundary control unmatched disturbance |
| 摘要点击 1387 全文点击 533 |
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| DOI编号 10.7641/CTA.2020.20095 |
| 2021,38(3):373-379 |
| 中文关键词 边界控制 干扰 输出跟踪 薛定谔方程 |
| 英文关键词 boundary control disturbance output tracking Schr¨odinger equation |
| 基金项目 Supported by the National Natural Science Foundation of China(61873153), the Youth Science and Technology Research of Shanxi Province (201801D221013) and the Science and Technology Innovation Fund Project of Shanxi Agricultural University (2017ZZ06). |
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| 中文摘要 |
| 本文研究了干扰与控制非同位一维薛定谔方程的输出跟踪. 首先, 利用系统的无穷维结构与输出设计了用
于估计干扰的无穷维干扰估计器. 其次, 建立自适应伺服机制使得跟踪误差~u(1; t) 2 L2(0;1), 且闭环系统的所有
子系统有界. 最后, 对闭环系统进行数值模拟, 模拟结果表明控制方案的有效性. |
| 英文摘要 |
| This paper considers the output tracking for one-dimensional Schr¨odinger equation with disturbance via noncollocated
boundary control. Firstly, we design an infinite-dimensional disturbance estimator to estimate the disturbance
by virtue of the output and infinite structure of the system. Secondly, the adaptive servomechanism is designed to achieve
the performance output tracking and the tracking error ~u(1; t) 2 L2(0;1) and all the internal-loops are bounded. Finally,
we present some numerical simulations to illustrate the effectiveness of the proposed scheme. |