Containment analysis and design for general linear multi-agent systems with time-varying delays

2016 ◽  
Vol 173 ◽  
pp. 2062-2068 ◽  
Author(s):  
Xiwang Dong ◽  
Liang Han ◽  
Qingdong Li ◽  
Jian Chen ◽  
Zhang Ren
Keyword(s):  
General Linear ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Analysis And Design ◽  
Agent Systems ◽  
Multi Agent

Time-Varying Formation Control for Time-Delayed Multi-Agent Systems with General Linear Dynamics and Switching Topologies

2019 ◽  
Vol 07 (01) ◽  
pp. 3-13 ◽  
Author(s):  
Wei Xiao ◽  
Jianglong Yu ◽  
Rui Wang ◽  
Xiwang Dong ◽  
Qingdong Li ◽  
...  
Keyword(s):  
Formation Control ◽  
Sufficient Conditions ◽  
General Linear ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Analysis And Design ◽  
Agent Systems ◽  
Control Protocol ◽  
Switching Topologies ◽  
Multi Agent

Time-varying formation analysis and design problems for general linear multi-agent systems with switching interaction topologies and time-varying delays are studied. Firstly, a consensus-based formation control protocol is constructed using local information of the neighboring agents. An algorithm with three steps is presented to design the proposed formation control protocol. Then, based on linear matrix inequality technique and common Lyapunove–Krasovskii stability theory, sufficient conditions for general linear multi-agent systems with switching topologies and time-varying delays to achieve time-varying formation are given together with a time-varying formation feasibility condition. Finally, a numerical simulation is given to demonstrate the effectiveness of the obtained theoretical results.

Leader-Following Consensus Control of General Linear Multi-Agent Systems With Diverse Time-Varying Input Delays

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Chengzhi Yuan
Keyword(s):  
Single Agent ◽  
General Linear ◽  
Control Synthesis ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Control ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Input Delays

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.

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