Cooperative Learning with Gaussian Processes for Euler-Lagrange Systems Tracking Control under Switching Topologies

Fuente: arXiv
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Auteurs principaux: Yang, Zewen, Dong, Songbo, Lederer, Armin, Dai, Xiaobing, Chen, Siyu, Sosnowski, Stefan, Hattab, Georges, Hirche, Sandra
Format: Preprint
Publié: 2024
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author Yang, Zewen
Dong, Songbo
Lederer, Armin
Dai, Xiaobing
Chen, Siyu
Sosnowski, Stefan
Hattab, Georges
Hirche, Sandra
author_facet Yang, Zewen
Dong, Songbo
Lederer, Armin
Dai, Xiaobing
Chen, Siyu
Sosnowski, Stefan
Hattab, Georges
Hirche, Sandra
contents This work presents an innovative learning-based approach to tackle the tracking control problem of Euler-Lagrange multi-agent systems with partially unknown dynamics operating under switching communication topologies. The approach leverages a correlation-aware cooperative algorithm framework built upon Gaussian process regression, which adeptly captures inter-agent correlations for uncertainty predictions. A standout feature is its exceptional efficiency in deriving the aggregation weights achieved by circumventing the computationally intensive posterior variance calculations. Through Lyapunov stability analysis, the distributed control law ensures bounded tracking errors with high probability. Simulation experiments validate the protocol's efficacy in effectively managing complex scenarios, establishing it as a promising solution for robust tracking control in multi-agent systems characterized by uncertain dynamics and dynamic communication structures.
format Preprint
id arxiv_https___arxiv_org_abs_2402_03048
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cooperative Learning with Gaussian Processes for Euler-Lagrange Systems Tracking Control under Switching Topologies
Yang, Zewen
Dong, Songbo
Lederer, Armin
Dai, Xiaobing
Chen, Siyu
Sosnowski, Stefan
Hattab, Georges
Hirche, Sandra
Multiagent Systems
Machine Learning
Systems and Control
This work presents an innovative learning-based approach to tackle the tracking control problem of Euler-Lagrange multi-agent systems with partially unknown dynamics operating under switching communication topologies. The approach leverages a correlation-aware cooperative algorithm framework built upon Gaussian process regression, which adeptly captures inter-agent correlations for uncertainty predictions. A standout feature is its exceptional efficiency in deriving the aggregation weights achieved by circumventing the computationally intensive posterior variance calculations. Through Lyapunov stability analysis, the distributed control law ensures bounded tracking errors with high probability. Simulation experiments validate the protocol's efficacy in effectively managing complex scenarios, establishing it as a promising solution for robust tracking control in multi-agent systems characterized by uncertain dynamics and dynamic communication structures.
title Cooperative Learning with Gaussian Processes for Euler-Lagrange Systems Tracking Control under Switching Topologies
topic Multiagent Systems
Machine Learning
Systems and Control
url https://arxiv.org/abs/2402.03048