scholarly journals Optimal mean‐square consensus for heterogeneous multi‐agent system with probabilistic time delay

2021 ◽  
Author(s):  
Fenglan Sun ◽  
Hao Li ◽  
Wei Zhu ◽  
Jürgen Kurths
Keyword(s):  
Time Delay ◽  
Mean Square ◽  
Multi Agent System ◽  
Agent System ◽  
Multi Agent ◽  
Mean Square Consensus

Formation Control For Discrete-Time Multi-Agent System With Input and Output Delays Under Network Attacks

2021 ◽  
Author(s):  
Yuan Jian ◽  
Liu Hailin ◽  
Zhang Wenxia
Keyword(s):  
Discrete Time ◽  
Formation Control ◽  
Mean Square ◽  
Multi Agent System ◽  
Multi Agent Systems ◽  
Agent System ◽  
Network Attacks ◽  
Input And Output ◽  
Multi Agent ◽  
Mean Square Consensus

Abstract This paper addresses the mean square consensus-based formation control for multiple agent system (MAS) with input and output delays under network attacks, process noise, and measurement noise in MAS. Firstly, a time delay-free transformation approach for a multi-agent system with input and output delays is presented. The MAU system is transformed into a formal delay-free discrete-time system using the delay-free transformation method. Then a state observer based on Kalman filter is presented to estimate the states of agents. A distributed predictive consensus protocol based on the estimated states of each MAUS is proposed for the leader-following MAUS. The sufficient and necessary conditions of mean square consensus for MAUS under DoS attacks are derived. Finally, a numerical example of consensus-based formation control for Multi-agent systems is provided to verify the correctness and effectiveness of the proposed consensus control protocol.

Multi-Agent Consensus Control under Markovian Switching Topology and Time-Delay

2013 ◽  
Vol 427-429 ◽  
pp. 750-754
Author(s):  
Won Il Kim ◽  
Rong Xiong ◽  
Jun Wu
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Switching Topology ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Mean Square Consensus

In this note, the consensus problem of linear multi-agent systems with Markovian communication topology and time-varying delay is investigated. The topology of network is switched by Markovian process and the time-delay is considered to be time-varying and has a lower and upper bounds. A sufficient condition of mean square consensus is obtained in terms of linear matrix inequalities, and based on the condition, a controller design method is presented such that the multi-agent systems reaches to mean square consensus.

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