Based on the robust aeroelastic theory and and the frequency domain unsteady aerodynamics, complex perturbation of dynamic pressure was introduced in a frequency domain aeroservoelastic system to formulate the corresponding jx-analysis framework. Under this framework, the structured singular value theory was applied to predict the critical stability point of the aeroservoelastic system. It was shown that with complex perturbation, this frequency domain method not only guarantees the continuity of structured singular value of the system, but also leads to a more accurate numerical result. Numerical study was performed for an aircraft augmented with multiple-input and multiple-output (MIMO) flight control system in yaw and roll motions. The critical stability point predicted with the proposed method agreed well with that obtained with the conventional p-k method.%基于鲁棒气动弹性分析理论,在气动伺服弹性系统中直接应用频域气动力,并引入复数速压摄动,导出了相应的μ鲁棒稳定性分析框架,在此框架下应用结构奇异值理论,提出一种气动伺服弹性稳定临界点预测求解的完全频域方法.该方法既能保证系统结构奇异值的连续性,又可获得较为精确的计算结果.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的稳定性分析,采用本文方法求得的系统闭环稳定临界点与传统p-k法计算的结果吻合较好.
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