| 引用本文: | 杨智春,谷迎松.应用H∞–范数的频域颤振分析[J].控制理论与应用,2009,26(6):694~696.[点击复制] |
| YANG Zhi-chun,GU Ying-song.Flutter analysis by using H-infinity-norm[J].Control Theory and Technology,2009,26(6):694~696.[点击复制] |
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| 应用H∞–范数的频域颤振分析 |
| Flutter analysis by using H-infinity-norm |
| 摘要点击 1570 全文点击 896 投稿时间：2008-04-25 修订日期：2008-11-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.6.022 |
| 2009,26(6):694-696 |
| 中文关键词 H∞–范数 颤振 气动弹性系统 多输入多输出 |
| 英文关键词 H-infinity-norm flutter (aerodynamics) aeroelastic system multiple-input and multiple-output |
| 基金项目 国家自然科学基金资助项目(10672135); 教育部新世纪优秀人才支持计划资助项目(NCET–04–0965). |
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| 中文摘要 |
| 颤振是一种典型的气动弹性动不稳定现象, 求解颤振临界点是气动弹性稳定性分析的重要任务之一.从H∞控制理论观点出发, 将气动弹性系统视为多输入多输出系统, 并导出其传递函数矩阵. 在颤振临界点附近, 根据系统传递函数矩阵的H∞–范数趋于无穷大的特点, 发展了相应的颤振临界点搜索方法. 与传统的颤振分析方法相比, 该方法属于完全频域方法, 算法更为简洁, 且具有更高的自动化程度. 数值算例表明, 该方法可以获得正确的颤振临界点. |
| 英文摘要 |
| Flutter is a typical dynamic instability phenomenon in aeroelastic systems. It is very important to determine the critical flutter point in aeroelastic analysis. Based on the H-infinity control theory, we consider an aeroelastic system a multiple-input and multiple-output(MIMO) system, and derive its transfer function matrix. The H-infinity-norm of this transfer matrix will approach to infinity near the critical flutter point. Using this unique property of the H-infinity-norm, we develop a detailed algorithm to automatically search for the flutter point in frequency domain with less complexity than the traditional method. It is demonstrated that the results of the present method are in agreement with those of classical method. |
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