Function space quasiNewton techniques with application to space shuttle trajectory optimization
Abstract
Two existing function space quasiNewton algorithms, Davidon and projected gradient, are modified so that they may handle directly control variable inequality constraints. A third quasiNewton algorithm developed by C. G. Bryoden is extended to include optimal control problems. The Bryoden algorithm is further modified so that it may handle directly control variable inequality constraints. The quasiNewton methods along with a steepest descent and two conjugate gradient algorithms are simulated on three relatively simple yet representative bounded control problems, two of which possess singular subarcs. Overall, the Broyden algorithm was found to be superior. The most notable result of the simulations was the clear superiority of the Broyden and Davidon algorithms in producing a sharp singular control subarc.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT........19E
 Keywords:

 Algorithms;
 Function Space;
 Newton Methods;
 Space Shuttles;
 Trajectory Optimization;
 Control Simulation;
 Newton Theory;
 Optimal Control;
 Trajectory Analysis;
 Astrodynamics