most citedCGPOPS: A C++ Software for Solving Multiple-Phase Optimal Control Problems Using Adaptive Gaussian Quadrature Collocation and Sparse Nonlinear Programming

2 citations · 2 across the 5 of their papers we have counts for

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math.OC2020

Minimum-Time Earth-to-Mars Interplanetary Orbit Transfer Using Adaptive Gaussian Quadrature Collocation

Brittanny V. Holden, Shan He, Anil V. Rao

The problem of minimum-time, low-thrust, Earth-to-Mars interplanetary orbital trajectory optimization is considered. The minimum-time orbital transfer problem is modeled as a four-…

math.OC2020

A Warm Start Method for Solving Chance Constrained Optimal Control Problems

Rachel E. Kiel, Mrinal Kumar, Anil V. Rao

A warm start method is developed for efficiently solving complex chance constrained optimal control problems. The warm start method addresses the computational challenges of solvin…

math.OC2020

Mesh Refinement Method for Solving Optimal Control Problems with Nonsmooth Solutions Using Jump Function Approximations

Alexander T. Miller, WIlliam W. Hager, Anil V. Rao

A mesh refinement method is described for solving optimal control problems using Legendre-Gauss-Radau collocation. The method detects discontinuities in the control solution by emp…

math.OC2020

Method for Chance Constrained Optimal Control Using Biased Kernel Density Estimators

Rachel E. Keil, Alexander T. Miller, Mrinal Kumar +1

A method is developed to numerically solve chance constrained optimal control problems. The chance constraints are reformulated as nonlinear constraints that retain the probability…

math.OC2019

Modified Legendre-Gauss-Radau Collocation Method for Solving Optimal Control Problems with Nonsmooth Solutions

Joseph D. Eide, William W. Hager, Anil V. Rao

A new method is developed for solving optimal control problems whose solutions are nonsmooth. The method developed in this paper employs a modified form of the Legendre-Gauss-Radau…

math.OC2019

Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

Yunus M. Agamawi, William W. Hager, Anil V. Rao

A mesh refinement method is developed for solving bang-bang optimal control problems using direct collocation. The method starts by finding a solution on a coarse mesh. Using this…