Inverse optimization of discrete-time systems applied to human locomotion
Puydupin, Anne-Sophie
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https://hdl.handle.net/2142/31127
Description
Title
Inverse optimization of discrete-time systems applied to human locomotion
Author(s)
Puydupin, Anne-Sophie
Issue Date
2012-05-22T00:29:47Z
Director of Research (if dissertation) or Advisor (if thesis)
Bretl, Timothy W.
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Inverse optimization
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.
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