| 引用本文: | 金雪莲,张思佳,郑福.热波耦合系统的指数镇定及其H∞鲁棒性[J].控制理论与应用,2021,38(12):2069~2075.[点击复制] |
| JIN Xue-lian,ZHANG Si-jia,ZHENG Fu.The exponential stabilization of the heat-wave coupled system and H1 robustness[J].Control Theory and Technology,2021,38(12):2069~2075.[点击复制] |
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| 热波耦合系统的指数镇定及其H∞鲁棒性 |
| The exponential stabilization of the heat-wave coupled system and H1 robustness |
| 摘要点击 1147 全文点击 368 投稿时间：2020-11-17 修订日期：2021-09-02 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2021.00814 |
| 2021,38(12):2069-2075 |
| 中文关键词 热波方程 边界反馈 指数稳定性 |
| 英文关键词 heat-wave equation boundary feedback exponential stability |
| 基金项目 国家自然科学基金项目(11871117), 辽宁省教育厅科学研究经费项目(JJL201915408)资助. |
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| 中文摘要 |
| 本文对具有边界观测和同位控制的一维热波耦合系统的指数镇定进行了研究. 当控制为零时, 系统是多项
式稳定的. 本文设计2种反馈方式–静态负比例反馈和动态反馈, 利用Lyapunov函数直接法, 得到在2种反馈下闭环系
统是指数稳定的. 此外, 并对2种控制的H∞鲁棒性进行了分析, 给出了相应的充分条件. |
| 英文摘要 |
| In this paper, the exponential stabilization of the heat-wave coupled equation with observation and collocated
control is discussed. The system is only polynomially stable when the control is zero. Two feedback strategies, static
negative proportional feedback and dynamic feedback are designed. By the direct method of Lyapunov function, the exponential
stability of the closed-loop systems is tested. Moreover, the H∞ robustness of two controls is further analyzed and
the related sufficient conditions are given. |
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