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研究了具有球面约束条件的飞机纵向运动数学模型 .导出了飞机纵向运动控制系统在五维球面上的整体化方程 ,展示了几何约束条件对飞机纵向运动控制系统的影响 .并且讨论了具有球面约束条件的飞机纵向运动控制系统的局部能控性和局部能观测性以及飞机纵向运动控制系统的平衡态与五维球面测地线之间的关系 .这些研究结果对于进一步研究大范围飞机运动控制系统的设计和实现提供了理论依据 .
The mathematic model of longitudinal movement of aircraft with spherical constraint is studied.The integral equation of the longitudinal movement control system of the aircraft on five-sphere is derived and the influence of geometric constraints on the longitudinal motion control system of the aircraft is demonstrated.Moreover, The local controllability and local observability of the aircraft longitudinal motion control system as well as the relationship between the equilibrium state of the aircraft longitudinal motion control system and the five-dimensional spherical geodesic.These results are of great value for further research on large-scale aircraft motion control system Provides a theoretical basis for the design and implementation.