Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine
Joint Authors
Guzzella, Lino
Chinellato, Oscar
Asprion, Jonas
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-25
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Asprion, Jonas& Chinellato, Oscar& Guzzella, Lino. 2014. Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-464263
Modern Language Association (MLA)
Asprion, Jonas…[et al.]. Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-464263
American Medical Association (AMA)
Asprion, Jonas& Chinellato, Oscar& Guzzella, Lino. Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-464263
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464263