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4D Flight Trajectory Optimization Based on Pseudospectral Methods
Abstract:The optimization and control problem for 4D trajectories is a subject rarely addressed in literature. In the 4D navigation problem we define waypoints, for each mission, where the arrival time is specified in each of them. One way to design trajectories for achieving this kind of mission is to use the trajectory optimization concepts. To solve a trajectory optimization problem we can use the indirect or direct methods. The indirect methods are based on maximum principle of Pontryagin, on the other hand, in the direct methods it is necessary to transform into a nonlinear programming problem. We propose an approach based on direct methods with a pseudospectral integration scheme built on Chebyshev polynomials.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076520Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1893
 G. Moon and Y. Kim, "Flight path optimization passing through waypoints for autonomous flight control systems," Engineering Optimization, vol. 37, no. 7, pp. 755-774, October 2005.
 J. T. Betts, "Survey of numerical methods for trajectory optimization," Journal of Guidance, Control, and Dynamics, vol. 21, no. 2, pp. 193- 207, March-April 1998.
 D. G. Hull, "Conversion of optimal control problems into parameter optimization problems," Journal of Guidance, Control, and Dynamics, vol. 20, no. 1, pp. 57-60, January-February 1997.
 F. Benyah and L. S. Jennings, "Regularization for optimal control computation," Centre for Applied Dynamics and Optimization, Department of Mathematics, University of Westerm Australia, Report WA 6907, 2000.
 ÔÇöÔÇö, "The l-curve in regulation of optimal control computation," J. Austral. Math. Soc., vol. 40, pp. 138-172, September 1998.
 K. Bousson, "Single gridpoint dynamic programming for trajectory optimization," in AIAA Atomospheric Flight Mechanics Conference and Exhibit. AIAA, August 2003, pp. AIAA 2005-5902.
 F. Fahroo and I. M. Ross, "Costate estimation by a legendre pseudospectral method," Journal of Guidance, Control, and Dynamics, vol. 24, no. 2, pp. 270-277, March-April 2001.
 L. R. Lewis, I. M. Ross, and Q. Gong, "Pseudospectral Motion Planning Techniques for Autonomous Obstacle Avoidance," in Proceedings of the 46th IEEE Conference on Decision and Control, vol. 3, New Orleans, 2007, pp. 2210-2215.
 K. Bousson, "Chebychev pseudospectral trajectory optimization of differential inclusion models," in SAE World Aviation Congress, 2003 Aerospace Congress and Exhibition, Montreal, Canada. SAE, September 2003, pp. 2003-01-3044.