Data-driven cost representation for optimal control and its relevance to
a class of asymmetric linear quadratic dynamic games
a class of asymmetric linear quadratic dynamic games
File(s)
Author(s)
Nortmann, Benita
Mylvaganam, Thulasi
Type
Conference Paper
Abstract
Motivated by the fact that optimal performance criteria are often not known a priori, we present an approach to represent quadratic objective functions in the context of optimal control directly using finite, open-loop, non-optimal
data trajectories of the state, input and a performance variable. Combined with a data-based representation of linear time-invariant systems this allows us to solve linear quadratic regulator problems with unknown dynamics and unknown cost matrices via data-dependent convex programmes. We show that this result is relevant to a specific class of linear quadratic games, in which one player is missing information regarding the control objectives of the other players and/or the system dynamics. The applicability of the presented results is highlighted via an example concerning human-robot interaction.
data trajectories of the state, input and a performance variable. Combined with a data-based representation of linear time-invariant systems this allows us to solve linear quadratic regulator problems with unknown dynamics and unknown cost matrices via data-dependent convex programmes. We show that this result is relevant to a specific class of linear quadratic games, in which one player is missing information regarding the control objectives of the other players and/or the system dynamics. The applicability of the presented results is highlighted via an example concerning human-robot interaction.
Date Issued
2022-08-05
Date Acceptance
2022-02-28
Citation
2022, pp.2185-2190
Publisher
IEEE
Start Page
2185
End Page
2190
Copyright Statement
© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/9838594
Source
2022 European Control Conference
Publication Status
Published
Start Date
2022-07-12
Finish Date
2022-07-15
Coverage Spatial
London, UK
Date Publish Online
2022-08-05