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- Michael A. Patterson, Anil V. Rao
- ACM Trans. Math. Softw.
- 2014

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. The softwareâ€¦ (More)

- Anil V. Rao, David A. Benson, +4 authors Geoffrey T. Huntington
- ACM Trans. Math. Softw.
- 2010

An algorithm is described to solve multiple-phase optimal control problems using a recently developed numerical method called the Gauss pseudospectral method. The algorithm is well suited for use inâ€¦ (More)

An hp-adaptive pseudospectral method is presented for numerically solving optimal control problems. The method presented in this paper iteratively determines the number of segments, the width of eachâ€¦ (More)

N UMERICALmethods for solving optimal control problems fall into two general categories: indirect methods and direct methods [1]. In an indirect method, first-order necessary conditions forâ€¦ (More)

- Divya Garg, Michael A. Patterson, +4 authors Anil V. Rao
- Comp. Opt. and Appl.
- 2011

A method is presented for direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using global collocation at Legendre-Gauss-Radau (LGR)â€¦ (More)

- Divya Garg, Michael A. Patterson, William W. Hager, Anil V. Rao, David A. Benson, Geoffrey T. Huntington
- Automatica
- 2010

Aunified framework is presented for the numerical solution of optimal control problems using collocation at Legendreâ€“Gauss (LG), Legendreâ€“Gaussâ€“Radau (LGR), and Legendreâ€“Gaussâ€“Lobatto (LGL) points.â€¦ (More)

- Divya Garg, William W. Hager, Anil V. Rao
- Automatica
- 2011

An important aspect of numerically approximating the solution of an infinite-horizon optimal control problem is the manner in which the horizon is treated. Generally, an infinite-horizon optimalâ€¦ (More)

A variable-order adaptive pseudospectral method is presented for solving optimal control problems. The method developed in this paper adjusts both themesh spacing and the degree of the polynomial onâ€¦ (More)

Transcription for Optimal Control Problems by Geoffrey Todd Huntington B. S. Aerospace Engineering, University of California, Los Angeles, 2001 S. M. Aerospace Engineering, Massachusetts Institute ofâ€¦ (More)

A mesh refinement method is described for solving a continuous-time optimal control problem using collocation at Legendreâ€“Gaussâ€“Radau points. The method allows for changes in both the number of meshâ€¦ (More)