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在飞行力学中判别运动稳定性是以古典控制理论为基础,从运动微分方程导出特征方程,然后用适当的稳定判据进行判别。本文从现代控制理论的状态方程出发,以具有飞机外形的飞行器为对象,先导出其纵向短周期和侧向自由扰动运动的系统状态矩阵,然后利用初等相似变换把它们化为Schwarz矩阵,进而应用Schwarz矩阵的性质来判别纵向和侧向稳定性。并将其结果与用特征方程和稳定判据进行判别的方法进行对比,两者结果完全一致。但用Schwarz矩阵判别稳定更直接、方便、计算量小。
Discrimination of motion stability in flight mechanics is based on the classical control theory, which derives the eigenvalue equations from the differential equations of motion and then discriminates with appropriate stability criteria. Based on the state equations of modern control theory, the aircraft state-of-the-art aircraft is first used to derive the system state matrices of its short vertical and lateral perturbed motions and then transformed into Schwarz matrices using elementary similarity transformation Schwarz matrix to determine the longitudinal and lateral stability of the nature. The results are compared with the method of discriminating with the eigenvalue and the stability criterion. The results of the two methods are completely consistent. However, using Schwarz matrix to determine the stability is more direct, convenient and less computationally expensive.