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Title:Inverse optimization of discrete-time systems applied to human locomotion
Author(s):Puydupin, Anne-Sophie
Advisor(s):Bretl, Timothy W.
Department / Program:Aerospace Engineering
Discipline:Aerospace Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Inverse optimization
necessary conditions for optimality
duality theory
human locomotion.
Abstract:The problem of inverse optimization is to find the objective function that is being minimized, given knowledge of the constraints and observations of local minima. In this thesis, we consider the special case in which the objective function is a linear combination of known basis functions weighted by unknown parameters. Therefore the aim is to recover the weights governing the objective function. We propose a solution approach in this case that is based on the application of necessary conditions for optimality. We begin with a review of how these necessary conditions arise, with a particular focus on the relationship between duality theory and inverse optimization. We then proceed to describe our solution approach. Finally, we apply our approach to find a model of goal-directed human walking from experimental data with human subjects.
Issue Date:2012-05-22
Rights Information:Copyright 2012 Anne-Sophie Gaby Marthe Puydupin.
Date Available in IDEALS:2012-05-22
Date Deposited:2012-05

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