Direct multiple shooting for nonlinear optimum experimental design

• Verfasst von: Janka, Dennis [VerfasserIn]
• Verfasst von: Körkel, Stefan [VerfasserIn]
• Verfasst von: Bock, Hans Georg [VerfasserIn]
• Titel: Direct multiple shooting for nonlinear optimum experimental design
• Verf.angabe: Dennis Janka, Stefan Körkel, Hans Georg Bock
• Umfang: 27 S.
• Fussnoten: Gesehen am 30.01.2018
• Titel Quelle: Enthalten in: Multiple Shooting and Time Domain Decomposition Methods
• Jahr Quelle: 2015
• Band/Heft Quelle: (2015), S. 115-141
• ISBN Quelle: 978-3-319-23321-5
• DOI: doi:10.1007/978-3-319-23321-5_4
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1567868630

Abstract

Optimum experimental design (OED) for parameter identification has become a key technique in the model validation process for dynamical systems. This paper deals with optimum experimental design for systems modelled by differential-algebraic equations. We show how to formulate OED as a nonstandard nonlinear optimal control problem. The direct multiple shooting method is a state of the art method for the solution of standard optimal control problems that leads to structured nonlinear programs. We present two possibilities how to adapt direct multiple shooting to OED by introducing additional variables and constraints. We highlight special structures in the constraint and objective derivatives whose evaluation is usually the bottleneck when solving dynamic optimization problems by multiple shooting. We have implemented a structure exploiting algorithm that takes all these structures into account. Two benchmark examples show the efficiency of the new algorithm.