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oai:www.ideals.illinois.edu:2142/31127 2023-07-10 col_2142_14800 col_2142_5131 com_2142_14799 com_2142_234 com_2142_5130

Bretl, Timothy W. Puydupin, Anne-Sophie 2012-05-22T00:29:47Z 2012-05-22T00:29:47Z 2012-05 2012-05-22T00:29:47Z 2012-05 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-26T19:02:03Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Puydupin_AnneSophie.pdf: 813810 bytes, checksum: 156b29555fe3a99ed06a5c5f89f09a1d (MD5) Made available in DSpace on 2012-05-22T00:29:47Z (GMT). No. of bitstreams: 2 Puydupin_AnneSophie.pdf: 813612 bytes, checksum: 2ed25909d50cd09202d8306e377ea330 (MD5) license.txt: 4063 bytes, checksum: a11f309683890748d5f805169f10bfef (MD5) http://hdl.handle.net/2142/31127 en Copyright 2012 Anne-Sophie Gaby Marthe Puydupin. Inverse optimization optimization necessary conditions for optimality duality theory human locomotion. Inverse optimization of discrete-time systems applied to human locomotion text Aerospace Engineering 1615 Aerospace Engineering 4048 University of Illinois at Urbana-Champaign Thesis M.S. MS: Aerospace Engr -UIUC 10KS4048MS