scholarly journals Finite-Time Group Consensus of Distributed Multiagent Systems Based on Competition Mechanism

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Yize Yang ◽  
Hongyong Yang ◽  
Fei Liu
Keyword(s):  
Multiagent Systems ◽  
Communication Technology ◽  
Finite Time ◽  
Dynamic Properties ◽  
Distributed Network ◽  
Group Consensus ◽  
Competition Mechanism ◽  
Modern Control Theory ◽  
First Order ◽  
Group Cooperation

With the development of communication technology, distributed cooperative controls of multiagent systems (MAS) have been applied in many fields. Based on the communication between the agents, multiple individual systems are composed of a distributed network. Since the function of the agents is different, the distributed network can be divided into many parts. For first-order/second-order dynamic MAS, group cooperation algorithms with the competition mechanism are proposed in this paper. By applying modern control theory and homogeneous theory, finite-time stabilities for the cooperation motion of dynamic MAS are analyzed. By studying the dynamic properties of agents, finite-time group consensus of distributed MAS based on directed topology is obtained. Finally, the system simulation results are given to illustrate the effectiveness of the conclusion.

scholarly journals Couple-Group Consensus: A Class of Delayed Heterogeneous Multiagent Systems in Competitive Networks

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Lianghao Ji ◽  
Yue Zhang ◽  
Yiliu Jiang
Keyword(s):  
Multiagent Systems ◽  
Time Delays ◽  
Heterogeneous Systems ◽  
Velocity Estimation ◽  
Communication Delays ◽  
Group Consensus ◽  
Distributed Coordination ◽  
First Order ◽  
Communication Time ◽  
Theoretical Results

This paper discusses the couple-group consensus issues of a class of heterogeneous multiagent systems containing first-order and second-order dynamic agents under the influence of both input and communication delays. In distinction to the existing works, a novel distributed coordination control protocol is proposed which is not only on the foundation of the competitive interaction between the agents but also has no virtual velocity estimation in the first-order dynamics. Furthermore, without the restrictive assumptions existing commonly in the related works, several sufficient algebraic criteria are established for the heterogeneous systems to realize couple-group consensus asymptotically. The obtained conclusions show that the achievement of the systems’ couple-group consensus intimately relates to the coupling weights between the agents, the systems control parameters, and the input time delays of the agents, while communication time delays between the agents are irrelevant to it. Finally, several simulations are illustrated to verify the effectiveness of the obtained theoretical results.

scholarly journals Finite-Time Consensus of Networked Multiagent Systems with Time-Varying Linear Control Protocols

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Jiayan Wen ◽  
Chen Wang ◽  
Wenguang Luo ◽  
Guangming Xie
Keyword(s):  
Multiagent Systems ◽  
Finite Time ◽  
Linear Feedback ◽  
Time Varying ◽  
Communication Graph ◽  
Linear Feedback Control ◽  
First Order ◽  
Preset Time ◽  
Control Protocols ◽  
Networked Multiagent Systems

Finite-time consensus problems for networked multiagent systems with first-order/second-order dynamics are investigated in this paper. The goal of this paper is to design local information based control protocols such that the systems achieve consensus at any preset time. In order to realize this objective, a class of linear feedback control protocols with time-varying gains is introduced. We prove that the multiagent systems under such kinds of time-varying control protocols can achieve consensus at the preset time if the undirected communication graph is connected. Numerical simulations are presented to illustrate the effectiveness of the obtained theoretic results.

scholarly journals Couple-Group Consensus for Multiagent Systems via Time-Dependent Event-Triggered Control

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Huiyang Liu ◽  
Xiaoshuang Wang
Keyword(s):  
Multiagent Systems ◽  
Matrix Theory ◽  
Time Dependent ◽  
Communication Delays ◽  
Group Consensus ◽  
First Order ◽  
Zeno Behavior ◽  
The Matrix ◽  
Second Order Systems ◽  
Event Triggered

This paper investigates couple-group consensus problems for multiagent first-order and second-order systems. Several consensus protocols are proposed based on the time-dependent distributed event-triggered control. For the case of no communication delays, the time-dependent event-triggered strategies are applied to couple-group consensus problems. Based on the matrix theory, algebraic conditions for couple-group consensus are established. For the system with communication delays, based on event-triggered strategies, a Lyapunov-Krasovskii functional is constructed to prove the input-to-state stability of the systems. Moreover, Zeno behavior is excluded. Finally, numeral examples are given to illustrate the effectiveness of these results.

Fast Finite-Time Consensus Tracking of First-Order Multi-Agent Systems with a Virtual Leader

2014 ◽  
Vol 596 ◽  
pp. 552-559 ◽  
Author(s):  
Qiu Yun Xiao ◽  
Zhi Hai Wu ◽  
Li Peng
Keyword(s):  
Graph Theory ◽  
Finite Time ◽  
Function Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
First Order ◽  
Consensus Tracking ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Virtual Leader

This paper proposes a novel finite-time consensus tracking protocol for guaranteeing first-order multi-agent systems with a virtual leader to achieve the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, homogeneity with dilation and some other techniques are employed to prove that first-order multi-agent systems with a virtual leader applying the proposed protocol can reach the finite-time consensus tracking. Furthermore, theoretical analysis and numerical simulations show that compared with the traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the convergence speed of achieving the finite-time consensus tracking.

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