应用H_∞-范数的频域颤振分析  

Flutter analysis by using H-infinity-norm

作　　者：杨智春[1] 谷迎松[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《控制理论与应用》2009年第6期694-696,共3页Control Theory & Applications

基　　金：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)

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.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.

关 键 词：H∞-范数 颤振 气动弹性系统 多输入多输出 

分 类 号：V215.34[航空宇航科学与技术—航空宇航推进理论与工程]