纵向动力学中飞行平衡的存在性
On the Existence of Flight Equilibria in Longitudinal Dynamics
摘要:
任何飞机渐近稳定的控制律都要求存在一个平衡条件,也称为配平飞行条件。例如,在等速飞行时,必须存在一个飞机的方向,使得空气动力与飞机的推力加重量相反,并且扭矩平衡等于零。仔细研究描述配平条件的方程,可以发现飞机平衡构形的存在一般不能预先断言。通过考虑飞机纵向线性动力学,本文表明飞行配平条件的存在是飞行器形状或空气动力学的结果。这些结果是独立于飞机飞行包线获得的,并且不需要作用在飞行器上的空气动力学的任何显式表达式。
英文摘要:
Any control law for aircraft asymptotic stabilization requires the existence of an equilibrium condition, also called trim flight condition. At a constant velocity flight, for instance, there must exist an aircraft orientation such that aerodynamic forces oppose the plane's thrust plus weight, and the torque balance equals zero. A closer look at the equations characterizing the trim conditions point out that the existence of aircraft equilibrium configurations cannot be in general claimed beforehand. By considering aircraft longitudinal linear dynamics, this paper shows that the existence of flight trim conditions is a consequence of the vehicle shape or aerodynamics. These results are obtained independently from the aircraft flight envelope, and do not require any explicit expression of the aerodynamics acting on the vehicle.
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