50 citations · 182 across the 15 of their papers we have counts for
15 papers
Method for Solving State-Path Constrained Optimal Control Problems Using Adaptive Radau Collocation
Cale A. Byczkowski, Anil V. Rao
A new method is developed for accurately approximating the solution to state-variable inequality path constrained optimal control problems using a multiple-domain adaptive Legendre…
Method for Solving Bang-Bang and Singular Optimal Control Problems using Adaptive Radau Collocation
Elisha R. Pager, Anil V. Rao
A method is developed for solving bang-bang and singular optimal control problems using adaptive Legendre-Gauss-Radau (LGR) collocation. The method is divided into several parts. F…
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-…
Nonsingular Parameterization for Modeling Translational Motion Using Euler Parameters
Alexander T. Miller, Anil V. Rao
A parameterization is described for quantifying translational motion of a point in three-dimensional Euclidean space. The parameterization is similar to well-known parameterization…
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…
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…
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…
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…
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…
Comparison of Derivative Estimation Methods in Solving Optimal Control Problems Using Direct Collocation
Yunus M. Agamawi, Anil V. Rao
A study is conducted to evaluate four derivative estimation methods when solving a large sparse nonlinear programming problem that arises from the approximation of an optimal contr…
CGPOPS: A C++ Software for Solving Multiple-Phase Optimal Control Problems Using Adaptive Gaussian Quadrature Collocation and Sparse Nonlinear Programming
Yunus M. Agamawi, Anil V. Rao
A general-purpose C++ software program called is described for solving multiple-phase optimal control problems using adaptive Gaussian quadrature collocation. The…
Convergence rate for a Gauss collocation method applied to constrained optimal control
William W. Hager, Jun Liu, Subhashree Mohapatra +2
A local convergence rate is established for a Gauss orthogonal collocation method applied to optimal control problems with control constraints. If the Hamiltonian possesses a stron…
Convergence Rate for a Radau hp Collocation Method Applied to Constrained Optimal Control
William W. Hager, Hongyan Hou, Subhashree Mohapatra +1
For unconstrained control problems, a local convergence rate is established for an -method based on collocation at the Radau quadrature points in each mesh interval of the disc…
Convergence rate for a Gauss collocation method applied to unconstrained optimal control
William W. Hager, Hongyan Hou, Anil V. Rao
A local convergence rate is established for an orthogonal collocation method based on Gauss quadrature applied to an unconstrained optimal control problem. If the continuous proble…
Lebesgue Constants Arising in a Class of Collocation Methods
William W. Hager, Hongyan Hou, Anil V. Rao
Estimates are obtained for the Lebesgue constants associated with the Gauss quadrature points on augmented by the point and with the Radau quadrature points on eith…