Optimal trajectories in atmospheric flight

作者: Nguyen X. Vinh

DOI:

关键词: Trajectory optimizationGravitational fieldCanonical transformationEquations of motionOptimal controlPhysicsMathematical analysisCartesian coordinate systemSpherical coordinate systemOptimization problemControl theory

摘要: ABSTRACT This paper reviews the main contributions in general optimization problem atmospheric flight. The is formulated a vector form from which characteristics of optimal lift, bank and thrust control integrals motion are established. Using canonical transformation, appropriate equations for flight uniform gravitational field using Cartesian coordinates central Newtonian force spherical deduced. Performance assessment aircraft supersonic reviewed. For planar reentry trajectories, key process proposed. three-dimensional glide solved reduced-order formulation equilibrium condition.

参考文章(8)
V. F. Krotov, V. Z. Bukreev, V. I. Gurman, New variational methods in flight dynamics Israel Program for Scientific Translations. ,(1971)
EDWARD S. RUTOWSKI, Energy Approach to the General Aircraft Performance Problem Journal of the Aeronautical Sciences. ,vol. 21, pp. 187- 195 ,(1954) , 10.2514/8.2956
ARTHUR E. BRYSON, MUKUND N. DESAI, WILLIAM C. HOFFMAN, Energy-state approximation in performance optimization of supersonic aircraft Journal of Aircraft. ,vol. 6, pp. 481- 488 ,(1969) , 10.2514/3.44093
A. E. Bryson, W. F. Denham, A Steepest-Ascent Method for Solving Optimum Programming Problems Journal of Applied Mechanics. ,vol. 29, pp. 247- 257 ,(1962) , 10.1115/1.3640537
John V. Breakwell, Optimal Flight-Path-Angle Transitions in Minimum-Time Airplane Climbs Journal of Aircraft. ,vol. 14, pp. 782- 786 ,(1977) , 10.2514/3.58853
HENRY J. KELLEY, Reduced-order modeling in aircraft mission analysis AIAA Journal. ,vol. 9, pp. 349- 350 ,(1971) , 10.2514/3.6184
Elmer G. Gilbert, Michael G. Parsons, Periodic control and the optimality of aircraft cruise Journal of Aircraft. ,vol. 13, pp. 828- 830 ,(1976) , 10.2514/3.44557
H. GARDNER MOYER, Integrals for optimal flight over a spherical earth. AIAA Journal. ,vol. 11, pp. 1441- 1443 ,(1973) , 10.2514/3.6938