| { | |
| "id": "CSTAA14", | |
| "url": "https://www.bmtdynamics.org/cgi-bin/display.pl?name=CSTAA14", | |
| "title": "High Order Optimal Control of Space Trajectories with Uncertain Boundary Conditions", | |
| "pdfs": [ | |
| { | |
| "url": "https://www.bmtdynamics.org/pub/papers/CSTAA14/CSTAA14.pdf", | |
| "filename": "CSTAA14.pdf", | |
| "size_bytes": null | |
| } | |
| ], | |
| "page_text": "Publications\nReprint Server\nHigh Order Optimal Control of Space Trajectories with Uncertain Boundary Conditions\nAbstract\nA high order optimal control strategy is proposed in this work, based on the use of differential algebraic techniques. In the frame of orbital mechanics, differential algebra allows to represent, by high order Taylor polynomials, the dependency of the spacecraft state on initial conditions and environmental parameters. The resulting polynomials can be manipulated to obtain the high order expansion of the solution of two-point boundary value problems. Since the optimal control problem can be reduced to a two-point boundary value problem, differential algebra is used to compute the high order expansion of the solution of the optimal control problem about a reference trajectory. Whenever perturbations in the nominal conditions occur, new optimal control laws for perturbed initial and final states are obtained by the mere evaluation of polynomials. The performances of the method are assessed on lunar landing, rendezvous maneuvers, and a low-thrust EarthMars transfer.\nP. Di Liziaa, R. Armellina, F. Bernelli-Zazzeraa, M. Berz,\nActa Astronautica\n93\n(2014) 217-229\nDownload\nClick on the icon to download the corresponding file.\nDownload Adobe PDF version (1402352 Bytes).\nGo Back\nto the reprint server.\nGo Back\nto the home page.\nThis page is maintained by\nKyoko Makino\n. Please contact her if there are any problems with it." | |
| } |