Fixed-range optimal trajectories of supersonic aircraft by first-order expansions

作     者：Windhorst, R Ardema, M Kinney, D 

作者机构：Santa Clara Univ Dept Mech Engn Santa Clara CA 95053 USA NASA Ames Res Ctr Syst Anal Branch Moffett Field CA 94035 USA 

出 版 物：《JOURNAL OF GUIDANCE CONTROL AND DYNAMICS》 (制导、控制和动力学杂志)

年 卷 期：2001年第24卷第4期

页      面：700-709页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0804[工学-仪器科学与技术] 0825[工学-航空宇航科学与技术] 

主　　题：Supersonic Transport Aircraft Direct Operating Cost Singular Perturbation Boundary Value Problems Dynamic Pressure Guidance Laws High Speed Civil Transport Guidance Algorithms Transversality Condition Aircraft Design 

摘      要：A near-optimal guidance law that generates minimum-fuel, minimum-time, or direct operating cost fixed-range trajectories for supersonic transport aircraft is developed. The approach uses singular perturbation techniques to timescale decouple the equations of motion into three sets of dynamics, two of which are studied here: weight/range and energy The two-point boundary-value problems obtained by application of the maximum principle to the dynamic systems are solved using the method of matched asymptotic expansions. Both the weight/range and the energy dynamic solutions are carried out to first order. The two solutions are combined using the matching principle to form a uniformly valid approximation of the full fixed-range trajectory, Results show that the minimum-fuel trajectory has three segments: a minimum-fuel energy climb, a cruise climb, and a minimum-drag glide. The minimum-time trajectory also has three segments: a maximum dynamic pressure climb, a constant altitude cruise, and a maximum dynamic pressure descent. The minimum direct operating cost trajectory is an optimal combination of the preceding two trajectories. It is shown that for representative costs of fuel and flight time, the minimum direct operating cost trajectory is very similar to the minimum-fuel trajectory.