An Integrated Multicriterion hp-Adaptive Pseudospectral Method for Direct Optimal Control Problems Solving
Joint Authors
Liu, Hongfu
Chen, Shaofei
Shen, Lincheng
Chen, Jing
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-12
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Pseudospectral methods (PMs) for solving general optimal control problems (OCPs) attract an increasing amount of research and application in engineering.
It is challenging to improve the convergence rate, the solution accuracy, and the applicability of PMs, especially for nonsmooth problems.
Existing hp-adaptive PMs consider only one heuristic criterion, which cannot produce satisfactory performance in many cases.
In this paper, we propose a novel method which integrates multicriterion to hp-adaptive PM, in order to further improve the performance.
For this purpose, we first devise an OCP solving framework of hp-adaptive PM.
We then design a multicriterion hp-adaptive strategy which introduces prior knowledge, intermediate error and curvature as useful criterions for adaptive refinement.
We last present an iterative procedure for solving general nonlinear OCPs.
Results from two examples show that our method significantly outperforms competitors on the convergence rate and the solution accuracy.
The method is practical and effective for direct solving of various OCPs in a broad range of engineering.
American Psychological Association (APA)
Liu, Hongfu& Chen, Shaofei& Shen, Lincheng& Chen, Jing. 2012. An Integrated Multicriterion hp-Adaptive Pseudospectral Method for Direct Optimal Control Problems Solving. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001897
Modern Language Association (MLA)
Liu, Hongfu…[et al.]. An Integrated Multicriterion hp-Adaptive Pseudospectral Method for Direct Optimal Control Problems Solving. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1001897
American Medical Association (AMA)
Liu, Hongfu& Chen, Shaofei& Shen, Lincheng& Chen, Jing. An Integrated Multicriterion hp-Adaptive Pseudospectral Method for Direct Optimal Control Problems Solving. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001897