Consensus of fractional-order multi-agent systems with input time delay

2017 ◽  
Vol 20 (1) ◽  
Author(s):  
Wei Zhu ◽  
Bo Chen ◽  
Jie Yang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Input Time ◽  
Bounded Input ◽  
Function Matrix

AbstractMany phenomena in inter-disciplinary fields can be explained naturally by coordinated behavior of agents with fractional-order dynamics. Under the assumption that the interconnection topology of all agents has a spanning tree, the consensuses of linear and nonlinear fractional-order multi-agent systems with input time delay are studied, respectively. Based on the properties of Mittag-Leffler function, matrix theory, stability theory of fractional-order differential equations, some sufficient conditions on consensus are derived by using the technique of inequality, which shows that the consensus can be achieved for any bounded input time delay. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.

Formation-containment control of sampled-data second-order multi-agent systems with sampling delay

2018 ◽  
Vol 40 (16) ◽  
pp. 4369-4381 ◽  
Author(s):  
Baojie Zheng ◽  
Xiaowu Mu
Keyword(s):  
Matrix Theory ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Problems ◽  
Sampled Data ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Theoretical Results

The formation-containment control problems of sampled-data second-order multi-agent systems with sampling delay are studied. In this paper, we assume that there exist interactions among leaders and that the leader’s neighbours are only leaders. Firstly, two different control protocols with sampling delay are presented for followers and leaders, respectively. Then, by utilizing the algebraic graph theory and matrix theory, several sufficient conditions are obtained to ensure that the leaders achieve a desired formation and that the states of the followers converge to the convex hull formed by the states of the leaders, i.e. the multi-agent systems achieve formation containment. Furthermore, an explicit expression of the formation position function is derived for each leader. An algorithm is provided to design the gain parameters in the protocols. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

scholarly journals Event-Triggered Consensus Control for Second-Order Multi-Agent Systems With/Without Input Time Delay

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 156993-157002 ◽  
Author(s):  
Jinran Wang ◽  
Xiaoyuan Luo ◽  
Jing Yan ◽  
Xinping Guan
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Multi Agent Systems ◽  
Consensus Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Input Time ◽  
Event Triggered

Fractional-order controllability of multi-agent systems with time-delay

2020 ◽  
Author(s):  
Bo Liu ◽  
Housheng Su ◽  
Licheng Wu ◽  
Xiali Li ◽  
Xue Lu
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

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.

Sign in / Sign up

Export Citation Format

Share Document