Observer-Based Adaptive Consensus Protocol Design for Multi-Agent Systems with One-Sided Lipschitz Nonlinearity Article Swipe

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Xiaocheng Liu , Hongjun Chu , Weidong Zhang ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.3390/math12010087

This paper considers the observer-based leader–follower consensus problem of multi-agent systems with one-sided Lipschitz conditions and quadratic inner-boundedness nonlinearity. Based on the relative outputs of neighboring agents, an adaptive protocol over a directed graph is designed via assigning a time-varying coupling weight to each node. Compared with the existing protocols, the proposed protocol can not only be utilized in the unidirectional flow of information, but it does not require any global graph information for its design. It has been shown that the established criteria can not only make the observer error tendency zero, but one can also achieve the leader–follower consensus of such nonlinear multi-agent systems. Furthermore, the gains of observer and protocol parameters can be constructed by solving the linear matrix inequalities (LMIs), which are conveniently checked. The results are illustrated by numerical simulations.

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Lipschitz continuity Multi-agent system Nonlinear system Control theory (sociology) Observer (physics) Protocol (science) Quadratic equation Computer science Graph Mathematics Consensus Directed graph Mathematical optimization Algorithm Theoretical computer science Artificial intelligence Control (management) Medicine Pathology Mathematical analysis Quantum mechanics Alternative medicine Physics Geometry

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Type: article
Language: en
Landing Page: https://doi.org/10.3390/math12010087
PDF: https://www.mdpi.com/2227-7390/12/1/87/pdf?version=1703648435
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Cited By: 2
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Title: Observer-Based Adaptive Consensus Protocol Design for Multi-Agent Systems with One-Sided Lipschitz Nonlinearity

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Language: en

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Publication year: 2023

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Publication date: 2023-12-26

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Authors: Xiaocheng Liu, Hongjun Chu, Weidong Zhang

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Landing page: https://doi.org/10.3390/math12010087

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Concepts: Lipschitz continuity, Multi-agent system, Nonlinear system, Control theory (sociology), Observer (physics), Protocol (science), Quadratic equation, Computer science, Graph, Mathematics, Consensus, Directed graph, Mathematical optimization, Algorithm, Theoretical computer science, Artificial intelligence, Control (management), Medicine, Pathology, Mathematical analysis, Quantum mechanics, Alternative medicine, Physics, Geometry

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Cited by: 2

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