论文:2012,Vol:30,Issue(2):165-168
引用本文:
谷迎松, 杨智春, 李斌, 王巍. 应用H-范数进行多通道气动伺服弹性系统的频域稳定性分析[J]. 西北工业大学
Gu Yingsong, Yang Zhichun, Li Bin, Wang Wei. Exploring Differently Frequency Domain Analysis of MIMO AeroServo Elasticity (ASE) System Stability Using H-Infinity-Norm[J]. Northwestern polytechnical university

应用H-范数进行多通道气动伺服弹性系统的频域稳定性分析
谷迎松, 杨智春, 李斌, 王巍
西北工业大学 结构动力学与控制研究所,陕西 西安 710072
摘要:
气动伺服弹性稳定性分析是现代飞机设计中必须考虑的课题。给出了多输入/多输出气动伺服弹性系统的频域运动方程,并由系统稳定性理论得出,在气动伺服弹性稳定临界点附近,系统的H-范数趋于无穷大。据此,发展了一种应用H-范数进行频域气动伺服弹性稳定性分析的方法。针对某型飞机及其偏航/滚转增稳回路构成的多输入/多输出气动伺服弹性系统,采用该方法求得其闭环稳定临界点,与p-k法计算结果符合较好。分析结果还表明:考虑增稳系统的影响后,飞机气动伺服弹性稳定边界,相对于无控飞机的颤振速度有所降低;对临界稳定模态进行限幅滤波后,减小了不利耦合,使气动伺服弹性稳定性得到提高。
关键词:    气动伺服弹性    频域分析    限幅滤波器    H-范数    多输入/多输出系统   
Exploring Differently Frequency Domain Analysis of MIMO AeroServo Elasticity (ASE) System Stability Using H-Infinity-Norm
Gu Yingsong, Yang Zhichun, Li Bin, Wang Wei
Institute of Structural Dynamics and Control,Northwestern Polytechnical University,Xi'an 710072,China
Abstract:
Sections 1 through 3 of the full paper explain our different exploration mentioned in the title, whose coreconsists of: (1) we derive the equations of motion in frequency domain for a multiple-input and multiple-output(MIMO) ASE system; (2) using the system stability theory, we prove that the H-infinity-norm of the frequency re-sponse function matrix of the ASE system is close to the infinity near the critical point of aeroservoelastic stability;(3) based on this unique property, we use the H-infinity-norm to develop a method for frequency domain analysisof ASE system stability so as to determine the instability boundary of the ASE system. Section 4 simulates a certainaircraft that is equipped with MIMO flight control system for yaw loop and roll loop to analyze the stability of theASE system; the numerical results, given in Tables 1 and 2, and their analysis show preliminarily that: (1) theASE system stability obtained with our frequency domain analysis method agrees well with that obtained with the p-k method, which is closely related to Ref. 7 by Rodden and Johnson; (2) the stability boundary of the ASE systemof the aircraft is smaller than that of the aircraft which is not equipped with the MIMO flight control system; (3)with the notch filter added to the control system for suppressing the critical mode, our frequency domain analysismethod shows that the critical stability boundary increases prominently.
Key words:    aeroservoelasticity    frequency domain analysis    notch filters;H-infinity-norm    MIMO systems   
收稿日期: 2011-06-12     修回日期:
DOI:
基金项目: 国家自然科学基金(11072198、11102162)资助
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作者简介: 谷迎松(1981-),西北工业大学讲师、博士,主要从事气动伺服弹性研究。
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