| 引用本文: | 鲍玲鑫.不确定Euler-Bernoulli梁方程的边界输出跟踪[J].控制理论与应用,2022,39(9):1624~1632.[点击复制] |
| BAO Ling-xin.Output tracking for an Euler-Bernoulli beam equation with boundary uncertainty[J].Control Theory and Technology,2022,39(9):1624~1632.[点击复制] |
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| 不确定Euler-Bernoulli梁方程的边界输出跟踪 |
| Output tracking for an Euler-Bernoulli beam equation with boundary uncertainty |
| 摘要点击 1549 全文点击 458 投稿时间：2021-04-17 修订日期：2022-01-26 |
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| DOI编号 10.7641/CTA.2021.10321 |
| 2022,39(9):1624-1632 |
| 中文关键词 Euler-Bernoulli梁方程 输出跟踪 干扰抑制 边界控制 |
| 英文关键词 Euler-Bernoulli beam equation output tracking disturbance rejection boundary control |
| 基金项目 福建省自然科学基金项目(2019J01400), 福建农林大学科技创新专项基金项目(CXZX2019122G)资助. |
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| 中文摘要 |
| 本文讨论边界带有控制输入非同位的内部不确定和外部扰动的Euler-Bernoulli梁方程输出跟踪问题. 为处理边界干扰, 文章首先设计了一个新的总扰动估计器, 在线估计未知扰动. 其次基于估计出来的总扰动, 设计一个伺服系统跟踪参考信号. 最后根据自抗扰方法获得控制输出跟踪的反馈控制. 闭环系统被证明是适定和有界的, 且受控系统的输出指数跟踪参考信号. |
| 英文摘要 |
| This paper discusses output tracking problem on a boundary controlled Euler-Bernoulli beam equation suffered non-collocated unknown internal nonlinear uncertainty and external disturbance. To deal with boundary disturbance, we firstly design a novel disturbance estimator to estimate successfully the total disturbance. A servomechanism based on the estimated total disturbance is designed to track the reference signal. Finally, we obtain an output tracking controller by using active disturbance rejection method. It is shown that the closed-loop system is well-posed and bounded. Moreover, the performance output can track the reference signal exponentially. |