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 H∞ consensus of discrete-time nonlinear multi-agent systems based upon output feedback control

2019 ◽  
Vol 42 (7) ◽  
pp. 1323-1333
Author(s):  
Shuang Liang ◽  
Zhongxin Liu ◽  
Zengqiang Chen
Keyword(s):  
Control Problem ◽  
Discrete Time ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent

In this paper, the leader-following [Formula: see text] consensus problem for discrete-time nonlinear multi-agent systems with delay and parameter uncertainty is investigated, with the objective of designing an output feedback protocol such that the multi-agent system achieves leader-following consensus and has a prescribed [Formula: see text] performance level. By model transforming, the leader-following consensus control problem is converted into robust [Formula: see text] control problem. Based on the Lyapunov function technology and the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of discrete-time nonlinear multi-agent systems. The feedback gain matrix and the optimal [Formula: see text] performance index are obtained in terms of linear matrix inequalities. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.

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.

Robust Observer-based Leader-Following Consensus for Multi-agent Systems

2021 ◽  
Vol 19 (11) ◽  
pp. 1949-1958
Author(s):  
Jesus Avelino Vazquez Trejo ◽  
Manuel Adam Medina ◽  
Juan Antonio Vazquez Trejo ◽  
Carlos Daniel Garcia Beltran ◽  
Jarniel Garcia Morales
Keyword(s):  
Multi Agent Systems ◽  
Robust Observer ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent
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