| 引用本文: | 项基, 苏宏业, 褚健.一类不确定系统的滑模观测器设计[J].控制理论与应用,2006,23(6):996~1000.[点击复制] |
| XIANG Ji, SU Hong-ye ,CHU Jian.Sliding-mode observer design for a class of uncertain system[J].Control Theory and Technology,2006,23(6):996~1000.[点击复制] |
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| 一类不确定系统的滑模观测器设计 |
| Sliding-mode observer design for a class of uncertain system |
| 摘要点击 1565 全文点击 1647 投稿时间：2004-11-02 修订日期：2005-12-30 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.6.029 |
| 2006,23(6):996-1000 |
| 中文关键词 滑模观测器 鲁棒 不确定系统 线性矩阵不等式(LMI) |
| 英文关键词 sliding mode observer robust uncertain system linear matrix inequality(LMI) |
| 基金项目 国家杰出青年科学基金资助项目(60025308); 浙江省新世纪151人才工程重点资助项目(R1054301). |
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| 中文摘要 |
| 针对一类系统矩阵不确定的线性系统, 提出了一个新的鲁棒滑模观测器设计方法. 通过将系统矩阵的不确定分为匹配的和非匹配的两部分, 利用滑模控制对匹配不确定的绝对鲁棒性. 使得观测器具有更小的保守性. 基于规范型和结构Lyapunov矩阵, 将观测器的综合问题转化为一个简单易求解的LMI问题, 并进一步给出了优化求解过程, 避免过大的控制输入. 最后, 仿真实例验证了所提方法的有效性. |
| 英文摘要 |
| A novel robust sliding mode observer design method is proposed for a class of uncertain system with model uncertainties. A less conservative design is achieved by dividing the model uncertainties into the matched part and the mismatched part. Based on a canonical form, a directly solvable linear matrix inequality (LMI) is proposed to release the constrained matrix equation causing the difficulty on synthesizing sliding-mode observer in previous results. Furthermore, an optimal design procedure is presented for low control efforts. Finally, the effectiveness of the proposed method is demonstrated by a simulation example. |
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