Output consensus of linear heterogeneous multi-agent systems with external disturbances by event-triggered strategy

Author(s):  
Feng Zhou ◽  
Haikuo Liu ◽  
Xiangdong Liu ◽  
Changkun Du ◽  
Pingli Lu ◽  
...  
Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1412
Author(s):  
Xue Li ◽  
Zhiyong Yu ◽  
Haijun Jiang

In this paper, the leader-following consensus problem of first-order nonlinear multi-agent systems (FONMASs) with external disturbances is studied. Firstly, a novel distributed fixed-time sliding mode manifold is designed and a new static event-triggered protocol over general directed graph is proposed which can well suppress the external disturbances and make the FONMASs achieve leader-following consensus in fixed-time. Based on fixed-time stability theory and inequality technique, the conditions to be satisfied by the control parameters are obtained and the Zeno behavior can be avoided. In addition, we improve the proposed protocol and propose a new event-triggering strategy for the FONMASs with multiple leaders. The systems can reach the sliding mode surface and achieve containment control in fixed-time if the control parameters are designed carefully. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols.


2020 ◽  
pp. 107754632094834
Author(s):  
Mehdi Zamanian ◽  
Farzaneh Abdollahi ◽  
Seyyed Kamaleddin Yadavar Nikravesh

This article investigates the practical finite-time consensus for a class of heterogeneous multi-agent systems composed of first-order and second-order agents with heterogeneous unknown nonlinear dynamics and external disturbances in an undirected communication topology. To reduce the system updates, we propose an event-triggered approach. By defining auxiliary states, an adaptive distributed event-triggered control is designed to achieve practical finite-time consensus. Unknown nonlinear dynamics for each agent are estimated using radial basis function neural network. The stability of the overall closed-loop system is studied through the Lyapunov criterion. It is proven that by applying the proposed control scheme, the local neighbor position error and the velocity error between any two agents converge to a small region in finite time. Furthermore, it is shown that the Zeno behavior is ruled out. Finally, applicability and effectiveness of the proposed control scheme is verified and validated by two examples.


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