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

Mathematics

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