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

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 201
Author(s):  
Xu Ni ◽  
Kejia Yi ◽  
Yiming Jiang ◽  
Ancai Zhang ◽  
Chengdong Yang

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.

2019 ◽  
Vol 356 (6) ◽  
pp. 3612-3627 ◽  
Author(s):  
Yuan Wang ◽  
Jianwei Xia ◽  
Zhen Wang ◽  
Jianping Zhou ◽  
Hao Shen

Author(s):  
Chengzhi Yuan

This paper addresses the problem of leader-following consensus control of general linear multi-agent systems (MASs) with diverse time-varying input delays under the integral quadratic constraint (IQC) framework. A novel exact-memory distributed output-feedback delay controller structure is proposed, which utilizes not only relative estimation state information from neighboring agents but also local real-time information of time delays and the associated dynamic IQC-induced states from the agent itself for feedback control. As a result, the distributed consensus problem can be decomposed into H∞ stabilization subproblems for a set of independent linear fractional transformation (LFT) systems, whose dimensions are equal to that of a single agent plant plus the associated local IQC dynamics. New delay control synthesis conditions for each subproblem are fully characterized as linear matrix inequalities (LMIs). A numerical example is used to demonstrate the proposed approach.


Sign in / Sign up

Export Citation Format

Share Document