| 引用本文: | 魏静,郭宝珠.具有时变外系统扰动的一维抛物方程的观测器设计[J].控制理论与应用,2023,40(8):1408~1416.[点击复制] |
| WEI Jing,GUO Bao-zhu.Observer design of a 1-D parabolic equation with disturbances generated by time-varying exosystems[J].Control Theory and Technology,2023,40(8):1408~1416.[点击复制] |
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| 具有时变外系统扰动的一维抛物方程的观测器设计 |
| Observer design of a 1-D parabolic equation with disturbances generated by time-varying exosystems |
| 摘要点击 3265 全文点击 258 投稿时间：2022-02-03 修订日期：2022-10-25 |
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| DOI编号 10.7641/CTA.2022.20094 |
| 2023,40(8):1408-1416 |
| 中文关键词 观测器 时变 外系统 |
| 英文关键词 observer time-varying exosystem |
| 基金项目 国家自然科学基金项目(12131008), 中国博士后面上基金项目(2021M690993) |
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| 中文摘要 |
| 本文考虑含有扰动的一维抛物方程的状态观测问题, 其中系统内部和边界上的扰动由一般的时变外系统产生. 利用反步变换和解耦变换, 设计了基于边界输出信号的状态观测器, 用于在线估计原系统和外部系统的状态.结果表明, 随着时间的推移, 观测器是指数收敛的. 最后, 通过数值仿真验证了该观测器的有效性. |
| 英文摘要 |
| In this paper, we consider state observer design for a one-dimensional parabolic equation that is disturbed by external disturbances from spatial domain and boundaries. The disturbances are generated from a general time-varying exosystem. A boundary state observer which estimates in real time both the system state and the exosystem state is designed by using backstepping transformation and decoupling transformation. As a consequence, we show that the observer is exponentially convergent as time goes on. Finally, some numerical simulations are presented to validate the effectiveness of the proposed observer. |