Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics

This paper deals with the leader-following consensus of multi-agent systems with matched nonlinear dynamics. Compared with previous works, the major difficulty here is caused by the simultaneous existence of nonidentical agent dynamics and unknown system parameters, which are more practical in real-...

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Main Authors: Junwei Wang, Kairui Chen, Qinghua Ma
Format: Article
Language:English
Published: MDPI AG 2014-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/9/5020
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author Junwei Wang
Kairui Chen
Qinghua Ma
author_facet Junwei Wang
Kairui Chen
Qinghua Ma
author_sort Junwei Wang
collection DOAJ
description This paper deals with the leader-following consensus of multi-agent systems with matched nonlinear dynamics. Compared with previous works, the major difficulty here is caused by the simultaneous existence of nonidentical agent dynamics and unknown system parameters, which are more practical in real-world applications. To tackle this difficulty, a distributed adaptive control law for each follower is proposed based on algebraic graph theory and algebraic Riccati equation. By a Lyapunov function method, we show that the designed control law guarantees that each follower asymptotically converges to the leader under connected communication graphs. A simulation example demonstrates the effectiveness of the proposed scheme.
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spelling doaj.art-3a55ed46270b4ffc8e2a6bc5c5c36ba72022-12-22T04:22:12ZengMDPI AGEntropy1099-43002014-09-011695020503110.3390/e16095020e16095020Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear DynamicsJunwei Wang0Kairui Chen1Qinghua Ma2Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaFaculty of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaDepartment of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaThis paper deals with the leader-following consensus of multi-agent systems with matched nonlinear dynamics. Compared with previous works, the major difficulty here is caused by the simultaneous existence of nonidentical agent dynamics and unknown system parameters, which are more practical in real-world applications. To tackle this difficulty, a distributed adaptive control law for each follower is proposed based on algebraic graph theory and algebraic Riccati equation. By a Lyapunov function method, we show that the designed control law guarantees that each follower asymptotically converges to the leader under connected communication graphs. A simulation example demonstrates the effectiveness of the proposed scheme.http://www.mdpi.com/1099-4300/16/9/5020consensusmulti-agent systemsnonlinear agentsunknown nonlinear dynamicsadaptive control
spellingShingle Junwei Wang
Kairui Chen
Qinghua Ma
Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
Entropy
consensus
multi-agent systems
nonlinear agents
unknown nonlinear dynamics
adaptive control
title Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
title_full Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
title_fullStr Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
title_full_unstemmed Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
title_short Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
title_sort adaptive leader following consensus of multi agent systems with unknown nonlinear dynamics
topic consensus
multi-agent systems
nonlinear agents
unknown nonlinear dynamics
adaptive control
url http://www.mdpi.com/1099-4300/16/9/5020
work_keys_str_mv AT junweiwang adaptiveleaderfollowingconsensusofmultiagentsystemswithunknownnonlineardynamics
AT kairuichen adaptiveleaderfollowingconsensusofmultiagentsystemswithunknownnonlineardynamics
AT qinghuama adaptiveleaderfollowingconsensusofmultiagentsystemswithunknownnonlineardynamics