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This paper presents a framework for inverse learning of objective functions for constrained optimal control problems, which is based on the Karush-Kuhn-Tucker (KKT) conditions.
Minima of functions of several variables with inequalities as side constraints
Karush, W. (1939) · 1939
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Nonlinear programming
Kuhn, H.W. and Tucker, A.W. (1951) · 1951
Earlier work this paper cites.
When is a linear control system optimal?
Kalman, R.E. (1964) · 1964
Earlier work this paper cites.
Minimization of functions having lipschitz continuous first partial derivatives
Armijo, L. (1966) · 1966
Earlier work this paper cites.
Linear complementarity, linear and nonlinear programming , volume 3
Murty, K.G. and Yu, F.T. (1988) · 1988
Earlier work this paper cites.
Convex optimization
Boyd, S. and Vandenberghe, L. (2004) · 2004
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Maximum entropy inverse reinforcement learning
Ziebart, B.D., Maas, A., Bagnell, J.A., and Dey, A.K. (2008) · 2008
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From human to humanoid locomotion: an inverse optimal control approach
Mombaur, K., Truong, A., and Laumond, J.P. (2010) · 2010
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Continuous inverse optimal control with locally optimal examples
Levine, S. and Koltun, V. (2012) · 2012
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Guided cost learning: Deep inverse optimal control via policy optimization
Finn, C., Levine, S., and Abbeel, P. (2016) · 2016
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Inverse KKT: Learning cost functions of manipulation tasks from demonstrations
Englert, P., Vien, N.A., and Toussaint, M. (2017) · 2017
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Data-driven inverse optimization with imperfect information
Esfahani, P.M., Shafieezadeh-Abadeh, S., Hanasusanto, G.A., and Kuhn, D. (2018) · 2018
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Convex formulations and algebraic solutions for linear quadratic inverse optimal control problems
Menner, M. and Zeilinger, M.N. (2018) · 2018
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Constrained inverse optimal control with application to a human manipulation task
Menner, M., Worsnop, P., and Zeilinger, M.N. (2019b) · 2019
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Learning constraints from locally-optimal demonstrations under cost function uncertainty
Chou, G., Ozay, N., and Berenson, D. (2020) · 2020
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Learning-based model predictive control: Toward safe learning in control
Hewing, L., Wabersich, K.P., Menner, M., and Zeilinger, M.N. (2020) · 2020
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Chou, G., Berenson, D., and Ozay, N. (2018) · 2018
Cited alongside, same era.
Inverse learning for human-adaptive motion planning
Menner, M., Berntorp, K., Zeilinger, M.N., and Di Cairano, S. (2019a)
Cited in the paper.