Seminar Details:

LANS Informal Seminar
"Estimating Parameters in Optimal Control Models"

DATE: November 1, 2010

TIME: 15:00:00 - 16:00:00
SPEAKER: Kathrin Hatz, University of Heidelberg
LOCATION: Bldg 240 Conference Center 1404-1405, Argonne National Laboratory

Description:
We are interested in numerical methods for identifying models that describe optimal processes in nature, such as human gait. Our goal is to identify a model that describes the gait of Cerebral Palsy (CP) patients. A CP gait model provides the possibility to classify and evaluate gaits, and most importantly, it affords a basis for treatment planing. Mathematically, a CP model can be described by an optimal control problem (OCP) which includes parameters that cannot be derived theoretically and need to be determined form observation data. This leads to a challenging parameter estimation problem whose constraints include an optimal control problem. We present three different approaches (a derivative-free optimization technique, a bundle method, and an SQP approach) for solving this problem and provide numerical results for two benchmark problems.


 

Please send questions or suggestions to Debojyoti Ghosh: ghosh at mcs dot anl dot gov.