Title
Stochastic consensus of discrete-time second-order multi-agent systems with measurement noises and time delays.
Abstract
We study the consensus control of discrete-time second-order multi-agents systems with time delays and multiplicative noises, where the consensus protocol is designed by both the local relative position measurements and each agent’s absolute velocity. Due to the existence of time delays and multiplicative noises, the classical methods for deterministic models with time delays cannot work. In this paper, we apply stochastic stability theorem of discrete-time stochastic delay equations to find some explicit sufficient conditions for both mean square and almost sure consensus. It is proven that for any given noise intensities and time delays, the second-order multi-agent consensus can be achieved by choosing appropriate control gains in the relative position measurement and absolute velocity, respectively. Numerical simulation is given to demonstrate the effectiveness of the proposed protocols as well as the theoretical results.
Year
DOI
Venue
2018
10.1016/j.jfranklin.2018.01.015
Journal of the Franklin Institute
Field
DocType
Volume
Mean square,Consensus control,Stochastic stability,Multiplicative function,Computer simulation,Control theory,Multi-agent system,Discrete time and continuous time,Mathematics
Journal
355
Issue
ISSN
Citations 
5
0016-0032
2
PageRank 
References 
Authors
0.36
26
3
Name
Order
Citations
PageRank
Yuanyuan Zhang121037.02
Renfu Li2164.42
Xiaoming Huo315724.83