Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems

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  • University of Stuttgart
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Original languageEnglish
Pages (from-to)3158-3163
Number of pages6
JournalIFAC-PapersOnLine
Volume56
Issue number2
Early online date22 Nov 2023
Publication statusPublished - 2023
Event22nd IFAC World Congress - Yokohama, Japan
Duration: 9 Jul 202314 Jul 2023

Abstract

We consider multi-agent systems with heterogeneous, nonlinear agents subject to individual constraints that want to achieve a periodic, dynamic cooperative control goal which can be characterised by a set and a suitable cost. We propose a sequential distributed model predictive control (MPC) scheme in which agents sequentially solve an individual optimisation problem to track an artificial periodic output trajectory. The optimisation problems are coupled through these artificial periodic output trajectories, which are communicated and penalised using the cost that characterises the cooperative goal. The agents communicate only their artificial trajectories and only once per time step. We show that under suitable assumptions, the agents can incrementally move their artificial output trajectories towards the cooperative goal, and, hence, their closed-loop output trajectories asymptotically achieve it. We illustrate the scheme with a simulation example.

Keywords

    cooperative control, distributed MPC, multi-agent systems, nonlinear systems, Predictive control

ASJC Scopus subject areas

Cite this

Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems. / Köhler, Matthias; Müller, Matthias A.; Allgöwer, Frank.
In: IFAC-PapersOnLine, Vol. 56, No. 2, 2023, p. 3158-3163.

Research output: Contribution to journalConference articleResearchpeer review

Köhler M, Müller MA, Allgöwer F. Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems. IFAC-PapersOnLine. 2023;56(2):3158-3163. Epub 2023 Nov 22. doi: 10.48550/arXiv.2304.03002, 10.1016/j.ifacol.2023.10.1450
Köhler, Matthias ; Müller, Matthias A. ; Allgöwer, Frank. / Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems. In: IFAC-PapersOnLine. 2023 ; Vol. 56, No. 2. pp. 3158-3163.
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T1 - Distributed Model Predictive Control for Periodic Cooperation of Multi-Agent Systems

AU - Köhler, Matthias

AU - Müller, Matthias A.

AU - Allgöwer, Frank

N1 - Funding Information: F. Allgöwer and M. A. Müller are thankful that this work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - AL 316/11-2-244600449. F. Allgöwer is thankful that this work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC 2075-390740016.

PY - 2023

Y1 - 2023

N2 - We consider multi-agent systems with heterogeneous, nonlinear agents subject to individual constraints that want to achieve a periodic, dynamic cooperative control goal which can be characterised by a set and a suitable cost. We propose a sequential distributed model predictive control (MPC) scheme in which agents sequentially solve an individual optimisation problem to track an artificial periodic output trajectory. The optimisation problems are coupled through these artificial periodic output trajectories, which are communicated and penalised using the cost that characterises the cooperative goal. The agents communicate only their artificial trajectories and only once per time step. We show that under suitable assumptions, the agents can incrementally move their artificial output trajectories towards the cooperative goal, and, hence, their closed-loop output trajectories asymptotically achieve it. We illustrate the scheme with a simulation example.

AB - We consider multi-agent systems with heterogeneous, nonlinear agents subject to individual constraints that want to achieve a periodic, dynamic cooperative control goal which can be characterised by a set and a suitable cost. We propose a sequential distributed model predictive control (MPC) scheme in which agents sequentially solve an individual optimisation problem to track an artificial periodic output trajectory. The optimisation problems are coupled through these artificial periodic output trajectories, which are communicated and penalised using the cost that characterises the cooperative goal. The agents communicate only their artificial trajectories and only once per time step. We show that under suitable assumptions, the agents can incrementally move their artificial output trajectories towards the cooperative goal, and, hence, their closed-loop output trajectories asymptotically achieve it. We illustrate the scheme with a simulation example.

KW - cooperative control

KW - distributed MPC

KW - multi-agent systems

KW - nonlinear systems

KW - Predictive control

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