Partitioned quasi-Newton approximation for direct collocation methods and its application to the fuel-optimal control of a diesel engine
type: Item
instance of: scholarly article
title: Partitioned quasi-Newton approximation for direct collocation methods and its application to the fuel-optimal control of a diesel engine
zbMATH Open document ID: 1406.49028
DOI: 10.1155/2014/341716
author: Jonas Asprion
author: Oscar Chinellato
author: Lino Guzzella
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: The numerical solution of optimal control problems by direct collocation is a widely used approach. Quasi-Newton approximations of the Hessian of the Lagrangian of the resulting nonlinear program are also common practice. We illustrate that the transcribed problem is separable with respect to the primal variables and propose the application of dense quasi-Newton updates to the small diagonal blocks of the Hessian. This approach resolves memory limitations, preserves the correct sparsity pattern, and generates more accurate curvature information. The effectiveness of this improvement when applied to engineering problems is demonstrated. As an example, the fuel-optimal and emission-constrained control of a turbocharged diesel engine is considered. First results indicate a significantly faster convergence of the nonlinear program solver when the method proposed is used instead of the standard quasi-Newton approximation.
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 7010606
Wikidata QID: Q59050998
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/341716
OpenAlex ID: W1964539455
DBLP publication ID: journals/jam/AsprionCG14
description: scientific article; zbMATH DE number 7010606