H∞ Consesus Control of Asynchronously Switched Multi-Agent Systems With Average Dwell Time

2021 ◽  
Author(s):  
Linpeng Xu ◽  
Bolan Wang ◽  
Hanqiao Huang ◽  
Haoyu Cheng ◽  
Ruijia Song
Keyword(s):  
Dwell Time ◽  
Average Dwell Time ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

Second-order group consensus for linear multi-agent systems with average dwell time switching

2018 ◽  
Vol 41 (2) ◽  
pp. 484-493 ◽  
Author(s):  
Dongmei Xie ◽  
Lin Shi ◽  
Fangcui Jiang
Keyword(s):  
Dwell Time ◽  
Average Dwell Time ◽  
Second Order ◽  
Switching Topology ◽  
Consensus Problem ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Switching Signal ◽  
Multi Agent

This paper studies the group consensus problem of second-order multi-agent systems (MASs) with switching communication topology. Unlike most existing papers concerning the consensus issue of MASs under arbitrary switching topology or Markovian switching topology, our paper tries to design a switching signal such that MAS can achieve group consensus under a designed switching signal set. First, using a state transformation method, the group consensus problem of MASs can be equivalently transformed into the asymptotical stability of a corresponding switched system. Then, two sufficient criteria are established by using Lyapunov function method and average dwell time (ADT) approach, where the minimum ADT [Formula: see text] is given clearly. Finally, simulation examples are given to show the effectiveness of our theoretical analysis.

scholarly journals Leader-Following Protocol Design for Switched Multiagent Systems with Randomly Occurring Self-Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
M. J. Park ◽  
O. M. Kwon ◽  
Ju H. Park ◽  
S. M. Lee ◽  
E. J. Cha
Keyword(s):  
Multiagent Systems ◽  
Stability Criterion ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Delay Dependent

This paper designs a delay-dependent leader-following protocol for multiagent systems with both communication delay and randomly occurring self-delay. Based on the randomly occurring mode of self-delay, a new model of switched multi-agent systems which have not been introduced yet is constructed. By constructing a newly piecewise Lyapunov-Krasovskii functional, a leader-following stability criterion of the switched multi-agent systems is derived by the framework of linear matrix inequalities (LMIs) and the average dwell time with the randomly occurring mode. Based on the result of the derived stability criterion, a designing leader-following protocol for the system will be proposed. One numerical example is included to show the effectiveness of the proposed method.

Leader-following consensus of second-order multi-agent systems with time-varying delays and arbitrary weights

2020 ◽  
Vol 42 (16) ◽  
pp. 3156-3167
Author(s):  
Lin Shi ◽  
Dongmei Xie
Keyword(s):  
Average Dwell Time ◽  
Laplacian Matrix ◽  
Switching Topology ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Consensus Tracking ◽  
Communication Topology ◽  
Leader Following ◽  
Multi Agent

Using Lyapunov first method instead of traditional Lyapunov second method, this paper focuses on studying the consensus tracking control problem of multi-agent systems (MASs) with time-varying delays and arbitrary adjacent weights under fixed topology and switching topology, respectively. We first give four equivalent criteria for MASs with fixed communication topology, where the positive stability of matrix [Formula: see text] ( L is the Laplacian matrix of [Formula: see text], B is the leader’s adjacency matrix) not only plays a key role as usual but also becomes an urgent and more complicated problem due to the introduction of negative weights in MASs. Second, for MASs with switching communication topology if the average dwell time of switching topology, the total activation time of stable subsystems and the upper bound of time delay satisfy some conditions, then MASs with all stable subsystems (partially stable subsystems) can achieve consensus tracking. Finally, simulations are given to demonstrate the effectiveness of our theoretical results.

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