Distributed optimization for multi-agent systems with constraints set and communication time-delay over a directed graph

2018 ◽  
Vol 438 ◽  
pp. 1-14 ◽  
Author(s):  
Dong Wang ◽  
Zhu Wang ◽  
Mingfei Chen ◽  
Wei Wang
Keyword(s):  
Time Delay ◽  
Directed Graph ◽  
Distributed Optimization ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent

Containment control of second-order multi-agent systems with directed topology and time-delays

Kybernetes ◽  
2014 ◽  
Vol 43 (8) ◽  
pp. 1248-1261 ◽  
Author(s):  
Bin Qi ◽  
Xuyang Lou ◽  
Baotong Cui
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Second Order ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Content Type ◽  
Directed Topology ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent

Purpose – The purpose of this paper is to discuss the impacts of the communication time-delays to the distributed containment control of the second-order multi-agent systems with directed topology. Design/methodology/approach – A basic theoretical analysis is first carried out for the containment control of the second-order multi-agent systems under directed topology without communication time-delay and a sufficient condition is proposed for the achievement of containment control. Based on the above result and frequency-domain analysis method, a sufficient condition is also derived for the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delays. Finally, simulation results are presented to support the effectiveness of the theoretical results. Findings – For the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delay, the control gain in the control protocols is completely dependent on the communication topology structure and the maximum of time-delay in the control protocols is dependent on the given control gain and communication topology structure. Originality/value – The paper investigates the containment control of the second-order multi-agent systems under directed topology with communication time-delays and presents a sufficient conditions for the achievement of containment control. The results and approach proposed in the paper may benefit interesting researchers.

scholarly journals Event-Triggered Control and Application for A Class of Nonlinear Multi-Agent Systems With Time Delay

2021 ◽  
Author(s):  
Jiancheng Zhang ◽  
Xinsheng Wang ◽  
Qi Cao
Keyword(s):  
Time Delay ◽  
Distributed Control ◽  
Directed Graph ◽  
Consensus Algorithm ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Event Triggered ◽  
Time Sequences

Abstract Linear multi-agent systems (MAS) have been studied a lot. Since nonlinear MAS with time delay and directed graph by using the event-triggered technique are seldom studied, the distributed control of a class of nonlinear leader-following MAS is considered in this paper. Firstly, we linearize the nonlinear MAS composed of N agents with directed graph by feedback, and transform the research object into a linear system. Furthermore, we proposed an event-triggered consensus algorithm for the leader-following MAS. Then we prove the consensus of the proposed algorithm by using related theorems. It is proved that the algorithm converges exponentially and avoids Zeno-behavior of triggering time sequences. Finally, we apply the designed event-triggered consensus algorithm to an engineering example. A simulation system is established in Matlab environment and the simulation example results verify the effectiveness of the proposed algorithm. It effectively reduces the number of communication among agents and achieves the consistency of control objectives.

scholarly journals Distributed Optimization for Multi-Agent Systems With Time Delay

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 123019-123025
Author(s):  
Zhengquan Yang ◽  
Xiaofang Pan ◽  
Qing Zhang ◽  
Zengqiang Chen
Keyword(s):  
Time Delay ◽  
Distributed Optimization ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

Scaled consensus for multi-agent systems with communication time delays

2017 ◽  
Vol 40 (8) ◽  
pp. 2651-2659 ◽  
Author(s):  
Mali Xing ◽  
Feiqi Deng
Keyword(s):  
Time Delay ◽  
Upper Bound ◽  
Algebraic Riccati Equation ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Time Varying Delay ◽  
Communication Time ◽  
Multi Agent

This paper aims to solve the scaled consensus problem of general linear multi-agent systems with non-uniform time-varying communication time-delay. The proposed consensus protocol is based on the low gain solution of a parametric algebraic Riccati equation. Based on the proposed consensus protocol, we obtain the sufficient condition for scaled consensus of multi-agent systems with communication time-delay. The results reveal that the upper bound of time-delay can be arbitrarily large if all poles of the system are zero. For the case of non-zero poles on the imaginary axis, the maximal admissible upper bound of the time-varying delay is provided. Simulation results are performed to demonstrate the scaled consensus performance of multi-agent systems.

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