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Landing Path Planning for General Aircraft Based on Legendre Pseudo Spectral Method

The emphasis of this paper is to propose a method based on Legendre pseudo spectral method to solve the optimal landing path planning problem for navigable aircraft. By establishing the mathematical model of the aircraft, the mathematical model of the aircraft is decomposed into transverse and longitudinal dynamic equations, and the flight restriction is set for the longitudinal motion law of the aircraft and the characteristics of the aircraft in combination with the actual situation. By using the pseudo-spectral method of Legendre pseudo-spectral method, OCP is transformed into NLP through global interpolation polynomial discrete state variables and control variables, and the solution process is solved by using MATLAB/TOMLAB toolbox. The simulation results show that the application of NLP solution to flight path planning by Legendre pseudo spectral method is feasible and meets the control constraints in flight process.