| 引用本文: | 周兰,吴敏,佘锦华,何勇.具有状态观测器的鲁棒重复控制系统设计[J].控制理论与应用,2009,26(9):942~948.[点击复制] |
| ZHOU Lan,WU Min,SHE Jin-hua,HE Yong.Design of robust repetitive control system with a state observer[J].Control Theory and Technology,2009,26(9):942~948.[点击复制] |
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| 具有状态观测器的鲁棒重复控制系统设计 |
| Design of robust repetitive control system with a state observer |
| 摘要点击 2356 全文点击 1886 投稿时间：2008-05-06 修订日期：2008-11-28 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.9.CCTA080426 |
| 2009,26(9):942-948 |
| 中文关键词 不确定系统 状态观测器 鲁棒重复控制 线性矩阵不等式 |
| 英文关键词 uncertain systems state observer robust repetitive control linear matrix inequality |
| 基金项目 国家自然科学基金资助项目(60674016); 国家杰出青年基金资助项目(60425310). |
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| 中文摘要 |
| 针对一类时变不确定系统, 研究基于状态观测器的鲁棒重复控制系统设计问题. 通过状态观测器重构系统状态, 利用重构状态进行状态反馈. 基于2维系统稳定性理论, 应用线性矩阵不等式(LMI)方法, 推导出了重复控制系统存在状态观测器和重复控制器的一个LMI条, 并用LMI的可行解给出了状态观测器和重复控制器参数的具体形式. 最后用数值仿真验证了本文所提方法的有效性. |
| 英文摘要 |
| The problem of designing a robust repetitive-control system is studied based on a state observer for a classof plants with structural time-varying uncertainties. The reconstructed states from the state observer are employed in the state-feedback controller design. Based on the stability theory of two-dimensional (2D) systems, a sufficient condition for the existence of the state observer and the repetitive controller for the repetitive control system are presented in terms of a linear matrix inequality (LMI) whose feasible solutions are utilized to determine the parameters of the state observer and
the repetitive controller. A numerical example demonstrates the effectiveness of the method. |