Distributed Differential Games for Control of Multi-Agent Systems
| Autor: | Thulasi Mylvaganam, Domenico Cappello |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Strongly connected component
Control and Optimization Computer Networks and Communications Computer science Multi-agent system Distributed computing Stability (learning theory) 0805 Distributed Computing Network topology Computer Science::Multiagent Systems 0906 Electrical and Electronic Engineering Stability conditions Control and Systems Engineering 0102 Applied Mathematics Signal Processing Differential game Graph (abstract data type) Differential (infinitesimal) |
| Zdroj: | IEEE Transactions on Control of Network Systems. 9:635-646 |
| ISSN: | 2372-2533 |
| Popis: | Motivated by the challenges arising in the field of multi-agent systems (MAS) control, we consider linear heterogenous MAS subject to local communication and investigate the problem of designing distributed controllers for such systems. We provide a game theoretic framework for systematically designing distributed controllers, taking into account individual objectives of the agents and their possibly incomplete knowledge of the MAS. Linear state-feedback control laws are obtained via the introduction of a distributed differential game, namely the combination of local non-cooperative differential games, which are solved in a decentralised fashion. Conditions for stability of the MAS are provided for the special cases of acyclic and strongly connected communication graph topologies. These results are then exploited to provide stability conditions for general graph topologies. The proposed framework is demonstrated on a tracking synchronisation problem associated with the design of a distributed secondary voltage controller for microgrids and on a numerical example. |
| Databáze: | OpenAIRE |
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