Inverse open-loop noncooperative differential games and inverse optimal control

, Inga, Jairo, Flad, Michael, , , & Hohmann, Soeren (2020) Inverse open-loop noncooperative differential games and inverse optimal control. IEEE Transactions on Automatic Control, 65(2), Article number: 8733901 897-904.

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Description

We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open-loop Nash equilibrium for a noncooperative differential game. We propose two methods for solving this inverse differential game problem and novel conditions under which our methods compute unique cost-functional parameters. Our conditions are analogous to persistence of excitation conditions in adaptive control and parameter estimation. The efficacy of our methods is illustrated in simulations.

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49 citations in Scopus
36 citations in Web of Science®
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ID Code: 130720
Item Type: Contribution to Journal (Journal Article)
Refereed: Yes
ORCID iD:
Molloy, Timothyorcid.org/0000-0002-6797-5617
Ford, Jasonorcid.org/0000-0001-5847-6253
Perez, Tristanorcid.org/0000-0003-1486-2202
Measurements or Duration: 8 pages
Keywords: Game theory, Inverse differential games, Inverse optimal control, Optimal control
DOI: 10.1109/TAC.2019.2921835
ISSN: 0018-9286
Pure ID: 33476065
Divisions: Current > Research Centres > Centre for Data Science
Current > Research Centres > Centre for Robotics
Past > Institutes > Institute for Future Environments
Past > QUT Faculties & Divisions > Science & Engineering Faculty
Current > QUT Faculties and Divisions > Faculty of Science
Current > QUT Faculties and Divisions > Faculty of Engineering
Current > Schools > School of Electrical Engineering & Robotics
Funding:
Copyright Owner: Consult author(s) regarding copyright matters
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Deposited On: 12 Jun 2019 23:01
Last Modified: 02 Oct 2025 14:47