Consensus Control of Leaderless and Leader-Following Coupled PDE-ODEs Modeled Multi-Agent Systems

Xu Ni, Kejia Yi, Yiming Jiang, Ancai Zhang and Chengdong Yang
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Xu Ni: Faculty of Management and Economics, Kunming University of Science and Technology, Kunming 650500, China
Kejia Yi: Systems Engineering Research Institute, China State Shipbuilding Corporation Limited, Beijing 100094, China
Yiming Jiang: School of Precision Instrument and Opto-electronics Engineering, Tianjin Univeristy, Tianjin 300072, China
Ancai Zhang: School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China
Chengdong Yang: School of Information Science and Technology, Linyi University, Linyi 276005, China

Mathematics, 2022, vol. 10, issue 2, 1-14

Abstract: This paper discusses consensus control of nonlinear coupled parabolic PDE-ODE-based multi-agent systems (PDE-ODEMASs). First, a consensus controller of leaderless PDE-ODEMASs is designed. Based on a Lyapunov-based approach, coupling strengths are obtained for leaderless PDE-ODEMASs to achieve leaderless consensus. Furthermore, a consensus controller in the leader-following PDE-ODEMAS is designed and the corresponding coupling strengths are obtained to ensure the leader-following consensus. Two examples show the effectiveness of the proposed methods.

Keywords: consensus; PDE-ODEs; MASs; leader-following; coupling strengths (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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