Entry Trajectory Optimization by Second-Order Cone Programming
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- 1 February 2016
- journal article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Guidance, Control, and Dynamics
- Vol. 39 (2), 227-241
- https://doi.org/10.2514/1.g001210
Abstract
Convex optimization has found wide applications in recent years due to its unique theoretical advantages and the polynomial-time complexity of state-of-the-art solution algorithms for convex programming. This paper represents an attempt to apply second-order cone programming, a branch of convex optimization, to the class of highly nonlinear trajectory optimization problems in entry flight. The foremost challenge in applying convex optimization in most aerospace engineering problems lies in the nonlinearity and nonconvexity of the problem. Exclusive reliance on linearization does not always work well, as is the case in entry trajectory optimization. This paper focuses on how to formulate realistic, highly constrained entry trajectory optimization problems in a fashion suitable to be solved by second-order cone programming with a combination of successive linearization and relaxation techniques. Rigorous analysis is conducted to support the soundness of the approach. Numerical demonstrations are provided to show the efficacy and effectiveness of the proposed method.Keywords
This publication has 34 references indexed in Scilit:
- Autonomous Trajectory Planning for Rendezvous and Proximity Operations by Conic OptimizationJournal of Guidance, Control, and Dynamics, 2013
- Lossless convexification of a class of optimal control problems with non-convex control constraintsAutomatica, 2011
- Three-Dimensional Trajectory Optimization Satisfying Waypoint and No-Fly Zone ConstraintsJournal of Guidance, Control, and Dynamics, 2009
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programmingMathematical Programming, 2005
- Rapid Verification Method for the Trajectory Optimization of Reentry VehiclesJournal of Guidance, Control, and Dynamics, 2003
- On implementing a primal-dual interior-point method for conic quadratic optimizationMathematical Programming, 2003
- Second-order cone programmingMathematical Programming, 2003
- Implementation of interior point methods for mixed semidefinite and second order cone optimization problemsOptimization Methods and Software, 2002
- Applications of second-order cone programmingLinear Algebra and its Applications, 1998
- Entry Guidance and Trajectory Control for Reusable Launch VehicleJournal of Guidance, Control, and Dynamics, 1997