Adaptive Consensus with Exponential Decay

Fuente: arXiv
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Main Authors: Choi, Woocheol, Jang, Piljae
Format: Preprint
Published: 2025
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author Choi, Woocheol
Jang, Piljae
author_facet Choi, Woocheol
Jang, Piljae
contents This paper addresses the adaptive consensus problem in uncertain multi-agent systems, particularly under challenges posed by quantized communication. We consider agents with general linear dynamics subject to nonlinear uncertainties and propose an adaptive consensus control framework that integrates concurrent learning. Unlike traditional methods relying solely on instantaneous data, concurrent learning leverages stored historical data to enhance parameter estimation without requiring persistent excitation. We establish that the proposed controller ensures exponential convergence of both consensus and parameter estimation. Furthermore, we extend the analysis to scenarios where inter-agent communication is quantized using a uniform quantizer. We prove that the system still achieves consensus up to an error proportional to the quantization level, with exponential convergence rate.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07203
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adaptive Consensus with Exponential Decay
Choi, Woocheol
Jang, Piljae
Optimization and Control
This paper addresses the adaptive consensus problem in uncertain multi-agent systems, particularly under challenges posed by quantized communication. We consider agents with general linear dynamics subject to nonlinear uncertainties and propose an adaptive consensus control framework that integrates concurrent learning. Unlike traditional methods relying solely on instantaneous data, concurrent learning leverages stored historical data to enhance parameter estimation without requiring persistent excitation. We establish that the proposed controller ensures exponential convergence of both consensus and parameter estimation. Furthermore, we extend the analysis to scenarios where inter-agent communication is quantized using a uniform quantizer. We prove that the system still achieves consensus up to an error proportional to the quantization level, with exponential convergence rate.
title Adaptive Consensus with Exponential Decay
topic Optimization and Control
url https://arxiv.org/abs/2506.07203