An adaptive control scheme for leader-following consensus of multi-agent systems with parametric uncertainties

2017 ◽  
Author(s):  
Ge Song ◽  
Gang Tao
Keyword(s):  
Adaptive Control ◽  
Parametric Uncertainties ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Control Scheme ◽  
Leader Following ◽  
Multi Agent ◽  
Adaptive Control Scheme

scholarly journals Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

2018 ◽  
Vol 8 (4) ◽  
pp. 293-302 ◽  
Author(s):  
Bin Xu ◽  
Wangli He
Keyword(s):  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Event Time ◽  
Control Scheme ◽  
Directed Spanning Tree ◽  
Leader Following ◽  
Multi Agent ◽  
Cluster Consensus ◽  
Event Triggered

Abstract This paper is concerned with cluster consensus of linear multi-agent systems via a distributed event-triggered control scheme. Assume that agents can be split into several clusters and a leader is associated with each cluster. Sufficient conditions are derived to guarantee the realization of cluster consensus by a feasible event-triggered controller if the network topology of each cluster has a directed spanning tree and the couplings within each cluster are sufficiently strong. Further, positive inner-event time intervals are ensured for the proposed event-triggered strategy to avoid Zeno behaviors. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

scholarly journals Group multiple lags consensus of fractional-order nonlinear leader-following multi-agent systems via adaptive control

2018 ◽  
Vol 41 (5) ◽  
pp. 1313-1322 ◽  
Author(s):  
Yunlong Zhang ◽  
Guoguang Wen ◽  
Zhaoxia Peng ◽  
Yongguang Yu ◽  
Ahmed Rahmani
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Group Leaders ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Control Protocols ◽  
Multiple Lags

In this paper, group multiple lags consensus of fractional-order leader-following multi-agent systems with nonlinear dynamics are investigated, in which two kinds of lag consensus are considered. One is said to be outergroup lag consensus, which means that different group leaders reach lag consensus. The other one is called innergroup lag consensus, that is to say, the followers will reach lag consensus with their own group leader. Based on Mittag–Leffler stability for fractional-order systems, algebraic graph theory, a class of novel control protocols is designed and the corresponding sufficient conditions are derived to guarantee the achievement of group multiple lags consensus. Furthermore, considering parametric uncertainties, an adaptive control technology is employed to solve the group multiple lags consensus for fractional order multi-agent systems, and the corresponding adaptive control protocols and sufficient conditions are proposed. Finally, numerical simulations are given to demonstrate the effectiveness of the obtained results.

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