Journal Article10.1016/j.ast.2022.107887
hp-Adaptive RPD Based Sequential Convex Programming for Reentry Trajectory Optimization
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TL;DR: In this article , a sequential convex programming (SCP) algorithm based on the hp-adaptive Radau pseudospectral discretization (RPD) is proposed.
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About: This article is published in Aerospace Science and Technology. The article was published on 01 Sep 2022. The article focuses on the topics: Discretization & Trajectory optimization.
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References
GPOPS-II: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using hp-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming
Michael A. Patterson,Anil V. Rao +1 more
TL;DR: A general-purpose MATLAB software program called GPOPS--II is described for solving multiple-phase optimal control problems using variable-order Gaussian quadrature collocation methods.
Brief paper: A unified framework for the numerical solution of optimal control problems using pseudospectral methods
Divya Garg,Michael A. Patterson,William W. Hager,Anil V. Rao,David Benson,Geoffrey T. Huntington +5 more
TL;DR: transformations are developed that relate the Lagrange multipliers of the discrete nonlinear programming problem to the costates of the continuous optimal control problem and the LGL costate approximation is found to have an error that oscillates about the true solution.
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Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method
TL;DR: In this paper, a pseudospectral method for solving nonlinear optimal control problems is presented, where orthogonal collocation of the dynamics is performed at the Legendre-Gauss points.
Convex programming approach to powered descent guidance for mars landing
TL;DR: This work presents a convex programming algorithm for the numerical solution of the minimum fuel powered descent guidance problem associated with Mars pinpoint landing as a finite-dimensional convex optimization problem as a second-order cone programming problem.
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An hp‐adaptive pseudospectral method for solving optimal control problems
TL;DR: An hp‐adaptive pseudospectral method that iteratively determines the number of segments, the width of each segment, and the polynomial degree required in each segment in order to obtain a solution to a user‐specified accuracy.