航空学报 > 2003, Vol. 24 Issue (4): 312-316

气动伺服弹性系统不确定性建模与鲁棒稳定性

吴志刚, 杨超   

  1. 北京航空航天大学飞行器设计与应用力学系 北京 100083
  • 收稿日期:2002-08-15 修回日期:2003-01-08 出版日期:2003-08-25 发布日期:2003-08-25

Modeling and Robust Stability for Aeroservoelastic Systems with Uncertainties

WU Zhi-gang, YANG Chao   

  1. Department of Flight Vehicle Design and Applied Mechanics; Beijing University of Aeronautics and Astronautics; Beijing 100083; China
  • Received:2002-08-15 Revised:2003-01-08 Online:2003-08-25 Published:2003-08-25

摘要: 气动伺服弹性系统在不确定性摄动下的鲁棒稳定性问题对于带有自动控制系统的弹性飞行器是非常关键的。利用线性分式变换形式,考虑参数和非参数不确定性的摄动,如广义刚度、广义质量、广义非定常气动力以及伺服系统的不确定性摄动,由各子系统到整个闭环系统依次建立气动伺服弹性的状态空间模型,并应用结构奇异值μ方法分析了系统的鲁棒稳定性。两个算例表明了该建模方法的方便适用以及μ方法在气动伺服弹性鲁棒稳定性分析中的应用前景。

关键词: 气动弹性, 气动伺服弹性, 鲁棒稳定性, μ分析

Abstract: Robust stability of the aeroservoelastic systems subjected to the perturbation of uncertainties is very important for elastic flight vehicles with automatic flight control systems. A method to build the state-space model ofaeroservoelastic systems is developed based upon linear fractional transformation (L FT) . The whole aeroservoelasticsystem is divided into several subsystems, and the subsystems are modeled considering responding parametric and unparametric uncertainties, respectively. Then the model of the closed-loop system is constructed by assembling theL FT blocks of the subsystems. The structured singular value is used to analyze robust stability according to the μ-method. Two examples are given, and the results show that the aeroservoelastic modeling method is reasonable andthe μ-method is promising in robust stability analysis for aeroservoelastic systems.

Key words: aeroelasticity, aeroservoelasticity, robust stability, μ analysis

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