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Communication Dans Un Congrès Année : 2024

Controlling identical linear multi-agent systems over directed graphs

Résumé

We consider the problem of synchronizing a multi-agent system (MAS) composed of several identical linear systems connected through a directed graph. To design a suitable controller, we construct conditions based on Bilinear Matrix Inequalities (BMIs) that ensure state synchronization. Since these conditions are non-convex, we propose an iterative algorithm based on a suitable relaxation that allows us to formulate Linear Matrix Inequality (LMI) conditions. As a result, the algorithm yields a common static state-feedback matrix for the controller that satisfies general linear performance constraints. Our results are achieved under the mild assumption that the graph is time-invariant and connected.
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Dates et versions

hal-04357943 , version 1 (22-12-2023)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Nicola Zaupa, Luca Zaccarian, Sophie Tarbouriech, Isabelle Queinnec, Giulia Giordano. Controlling identical linear multi-agent systems over directed graphs. 2023 IEEE 62st Conference on Decision and Control (CDC), IEEE, Dec 2023, Singapore, Singapore. pp.7395-7400, ⟨10.1109/CDC49753.2023.10383830⟩. ⟨hal-04357943⟩
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