Modern Differential Geometry In The Flight Control System

For the need of fight, the fight aircraft have flexibility, promptness and the ability of hiding, but the three are incompatible. The vector trust control is a most effective method to solve this conflict.There are two aspects introduced firstly: some typical flight modes and several differential geometrical methods. Then the latter are respectively used to solve the control problems in those relevant flight modes.In the first place, the means of nonlinear inverse dynamics is used. Here, the aircraft is in extreme flight conditions that is high angles of attack and high angular rates. It can encounter severe nonlinear effects. Detailed descriptions of the flight dynamic, aerodynamic models, inverse dynamic and the choice of the control variable are given. Simulation results are presented over a range of flight conditions to confirm the effectiveness of the design.Secondly, we introduce the theory that flat systems, an important subclass of nonlinear systems introduced via differential algebraic methods, are defined in a infinite dimensional differential geometrical framework. Utilizing this method, the control system of the VTOL aircraft becomes a linear control system.Finally, we introduce the theory that is found by my teacher, wanghong professor. We study the flight mode with some geometrical restrict using this theory. We get the system is local controllability and local observability.