5 papers
Computational Method for Desensitized Optimal Guidance Using Direct Collocation
Katrina Winkler, Anil Rao
A computational method is developed for desensitized optimal guidance using adaptive Gaussian quadrature collocation. The method computes a reference trajectory that reduces the se…
An Adaptive Method for Optimal Control Problems Constrained by Parabolic Differential Equations
Alexander M. Davies, Sara Pollock, Miriam E. Dennis +1
An adaptive direct collocation method is developed for solving optimal control problems constrained by parabolic partial differential equations. The partial differential equation i…
Optimal Control of Parabolic Differential Equations Using Radau Collocation
Alexander M. Davies, Sara Pollock, Miriam E. Dennis +1
A method is presented for the numerical solution of optimal boundary control problems governed by parabolic partial differential equations. The continuous space-time optimal contro…
Integral Form of Legendre-Gauss-Lobatto Collocation for Optimal Control
Gabriela Abadia-Doyle, William W. Hager, Anil V. Rao
A new method is described for solving optimal control problems using direct collocation at Legendre-Gauss-Lobatto points. The approach of this paper employs a polynomial approximat…
Adaptive Mesh Refinement and Error Estimation Method for Optimal Control Using Direct Collocation
George V. Haman, Anil V. Rao
An adaptive mesh refinement and error estimation method for numerically solving optimal control problems is developed using Legendre-Gauss-Radau direct collocation. In regions of t…