Distributed Event-Triggered Quantizer in Multi-Agent Systems

Author(s):  
Huaqiang Zhang ◽  
Yu Ren ◽  
Xinsheng Wang

This paper investigates a kind of consensus problem in multi-agent systems, revises an existing control input for consensus by dynamic quantizers, and also gives a visible distributed event-triggered rule to update the parameters for dynamic quantizers. In other words, distributed event-triggered dynamic quantizers are firstly proposed and employed when designing a consensus strategy for multi-agent systems by this paper. Meanwhile, the overall steps of the control strategy are included. The numerical results come to agreement with the theoretical analysis, and shows that the proposed strategy can get faster convergence speed in comparison with an existing one.

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1519 ◽  
Author(s):  
Rawad Abdulghafor ◽  
Sultan Almotairi ◽  
Hamad Almohamedh ◽  
Sherzod Turaev ◽  
Badr Almutairi

This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multi-agent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis.


2019 ◽  
Vol 24 (3) ◽  
pp. 353-367 ◽  
Author(s):  
Fei Wang ◽  
Yongqing Yang

The consensus problem of fractional-order multi-agent systems is investigated by eventtriggered control in this paper. Based on the graph theory and the Lyapunov functional approach, the conditions for guaranteeing the consensus are derived. Then, according to some basic theories of fractional-order differential equation and some properties of Mittag–Leffler function, the Zeno behavior could be excluded. Finally, a simulation example is given to check the effectiveness of the theoretical result.


2021 ◽  
Author(s):  
Mingyue Xiong ◽  
Xin Wang ◽  
Jun Cheng

Abstract This work focuses on the consensus problem of multi-agent systems (MASs) under event-triggered control (ETC) subject to denial-of-service (DoS) jamming attacks. To reduce the cost of communication networks, a novel event-triggering mechanism (ETM) is applied to the sleeping interval to determine whether the sampled signal should be transmitted or not. Unlike periodic DoS attacks model, the DoS attacks occurrence are irregular, where attack attributes such as attack frequency and attack duration are taken into account. Moreover, compared with the fixed topological graph, the communication topologies may change due to DoS jamming attacks in this work. In view of this, based on the piecewise Lyapunov functional, sufficient conditions are derived to guarantee that consensus problem of the MASs can be solved. Finally, the effectiveness and correctness of the theoretical results are verified by a numerical example.


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