| 引用本文: | 邱爱兵,文成林,姜斌.采样数据系统最优诊断观测器设计[J].控制理论与应用,2010,27(8):979~984.[点击复制] |
| QIU Ai-bing,WEN Cheng-lin,JIANG Bin.Optimal diagnostic observer for sampled-data systems[J].Control Theory and Technology,2010,27(8):979~984.[点击复制] |
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| 采样数据系统最优诊断观测器设计 |
| Optimal diagnostic observer for sampled-data systems |
| 摘要点击 2346 全文点击 1519 投稿时间：2009-06-23 修订日期：2009-10-12 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.8.CCTA090814 |
| 2010,27(8):979-984 |
| 中文关键词 故障检测 采样数据系统 诊断观测器 最优设计 |
| 英文关键词 fault detection sampled-data systems diagnostic observer optimal design |
| 基金项目 国家自然科学基金重点资助项目(60934009); 国家自然科学青年基金资助项目(60801048). |
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| 中文摘要 |
| 研究采样数据(sampled-data, SD)系统最优诊断观测器的直接设计方法. 首先从传递函数角度分析一般离散时间系统诊断观测器的Luenberger条件, 由此构造出SD诊断观测器, 并推导出其混杂动态关系. 然后将SD故障检测问题定义为一个特定的比值型优化问题, 并应用互内外分解法和代数方法构制其最优诊断观测器, 使得产生的离散时间残差对连续时间未知输入具有鲁棒性, 但对故障却是敏感的. 仿真结果验证了所提设计方法的有效性. |
| 英文摘要 |
| The direct design method of optimal diagnostic observer for sampled-data systems is investigated. Firstly, the Luenberger condition of the diagnostic observer for the general discrete-time systems is studied from the transfer
function viewpoint. By this condition, an appropriate diagnostic observer for sampled-data systems is built and its hybrid dynamics is derived. Then, the sampled-data fault detection problem is formulated as a ratio-type optimization problem. By using the co-inner-outer factorization technique and the algebra method, we obtain a general optimal solution which makes the discrete-time residuals robust to the continuous-time unknown inputs, but sensitive to faults. Simulation results of a numerical example are presented to demonstrate the effectiveness of the proposed method. |