Control of interacting vehicles using model-predictive control, generalized Nash equilibrium problems, and dynamic inversion

Britzelmeier, Andreas; Gerdts, Matthias; Rottmann, Thomas

doi:10.1016/j.ifacol.2020.12.2080

Cited by 2 publications

(2 citation statements)

References 14 publications

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“…Currently, we only have individual controllers implemented, which do not take into account the behavior of the other agents. In the future we will add controllers and optimization strategies for interacting systems as outlined in [4]. This will require to set up an agent-to-agent or agent-tocloud communication procedure, in which, e.g., position data or driving intentions are exchanged.…”

Section: Simulation Of Multi-agent Systemsmentioning

confidence: 99%

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ROCS: A Realtime Optimization and Control Simulator

Britzelmeier,

Gerdts,

Moslehi Rad

et al. 2020

Proceedings ASIM SST 2020

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The Realtime Optimization and Control Simulator (ROCS) is a software package written with Qt. It is conceived to be a versatile tool to develop, investigate, and visualize control and trajectory optimization tasks for automated vehicles, aircrafts, and robots in multi-modal scenarios. It is also conceived as a platform which allows to combine real driving data with virtual simulation using a vehicle in the loop.

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Section: Simulation Of Multi-agent Systemsmentioning

confidence: 99%

“…with B the width of the robot, v d the desired longitudinal velocity, and v = (v L + v R )/2 the current velocity. Both controllers are discussed in detail in [4] and [3].…”

Section: Sample Vehicle Controllermentioning

confidence: 99%

ROCS: A Realtime Optimization and Control Simulator

Britzelmeier,

Gerdts,

Moslehi Rad

et al. 2020

Proceedings ASIM SST 2020

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Multidimensional Evolution Effects on Non-Cooperative Strategic Games

Singh,

Gibali,

Reich

2024

Mathematics

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In this study, we examine how the strategies of the players over multiple time scales impact the decision making, resulting payoffs and the costs in non-cooperative strategic games. We propose a dynamic generalized Nash equilibrium problem for non-cooperative strategic games which evolve in multidimensions. We also define an equivalent dynamic quasi-variational inequality problem. The existence of equilibria is established, and a spot electricity market problem is reformulated in terms of the proposed dynamic generalized Nash equilibrium problem. Employing the theory of projected dynamical systems, we illustrate our approach by applying it to a 39-bus network case, which is based on the New England system. Moreover, we illustrate a comparative study between multiple time scales and a single time scale by a simple numerical experiment.

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Control of interacting vehicles using model-predictive control, generalized Nash equilibrium problems, and dynamic inversion

Cited by 2 publications

References 14 publications

ROCS: A Realtime Optimization and Control Simulator

ROCS: A Realtime Optimization and Control Simulator

Multidimensional Evolution Effects on Non-Cooperative Strategic Games

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