File:Galerkin optimal control (IA galerkinoptimalc1094544526).pdf
Original file (1,275 × 1,650 pixels, file size: 2.68 MB, MIME type: application/pdf, 218 pages)
Captions
Captions
Summary[edit]
Galerkin optimal control
(   ) |
|
|---|---|
| Author |
Boucher, Randy |
| Title |
Galerkin optimal control |
| Publisher |
Monterey, California: Naval Postgraduate School |
| Description |
A Galerkin-based family of numerical formulations is presented for solving nonlinear optimal control problems. This dissertation introduces a family of direct methods that calculate optimal trajectories by discretizing the system dy-namics using Galerkin numerical techniques and approximate the cost function with Gaussian quadrature. In this numerical approach, the analysis is based on L2-norms. An important result in the theoretical foundation is that the feasibility and consistency theorems are proved for problems with continuous and/or piecewise continuous controls. Galerkin methods may be formulated in a number of ways that allow for efficiency and/or improved accuracy while solving a wide range of optimal control problems with a variety of state and control constraints. Numerical formula-tions using Lagrangian and Legendre test functions are derived. One formulation allows for a weak enforcement of boundary conditions, which imposes end conditions only up to the accuracy of the numerical approximation itself. Additionally, the multi-scale formulation can reduce the dimension of multi-scale optimal control problems, those in which the states and controls evolve on different timescales. Finally, numerical examples are shown to demonstrate the versatile nature of Galerkin optimal control. Subjects: Galerkin; Pseudospectral; Optimal Control; Constrainted Optimization |
| Language | English |
| Publication date | December 2014 |
| Current location |
IA Collections: navalpostgraduateschoollibrary; fedlink |
| Accession number |
galerkinoptimalc1094544526 |
| Source | |
| Permission (Reusing this file) |
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. |
Licensing[edit]
|
This work is in the public domain in the United States because it is a work prepared by an officer or employee of the United States Government as part of that person’s official duties under the terms of Title 17, Chapter 1, Section 105 of the US Code.
Note: This only applies to original works of the Federal Government and not to the work of any individual U.S. state, territory, commonwealth, county, municipality, or any other subdivision. This template also does not apply to postage stamp designs published by the United States Postal Service since 1978. (See § 313.6(C)(1) of Compendium of U.S. Copyright Office Practices). It also does not apply to certain US coins; see The US Mint Terms of Use.
|
 |
| This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights. | ||
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:46, 20 July 2020 |  | 1,275 × 1,650, 218 pages (2.68 MB) | Fæ (talk | contribs) | FEDLINK - United States Federal Collection galerkinoptimalc1094544526 (User talk:Fæ/IA books#Fork8) (batch 1993-2020 #17193) |
You cannot overwrite this file.
File usage on Commons
The following page uses this file: