Abstract
The mean-square consensus of the discrete-time heterogeneous multi-agent systems (HMASs) with convex position constraints, nonconvex velocity constraints and communication noises is reported in this paper, where the dynamics of HMASs are composed of first-order or second-order difference equations, and the noises are assumed to be martingale difference sequences. Firstly, a new algorithm is designed based on the information from neighbor agents with noises, and the original system is changed into an equivalent one by introducing a coordinate transformation. Secondly, when the communication graph is joint strongly connected, it is proved that mean-square consensus can be achieved by the properties of stochastic matrix, projection operator and martingale, and the position and velocity states of agents stay at the corresponding constraint sets. Specially, the situations of a network containing only first-order agents or second-order agents are considered, respectively. Finally, the correctness of the theoretical results is verified by numerical simulations.
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This work was supported in part by the National Natural Science Foundation of China under Grant 61973329 and the National Key Technology R&D Program of China under Grant 2021YFD2100605.
Haokun Hu received his M.S. degree from the School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, China, in 2022. He is currently pursuing a Ph.D. degree from the School of Mathematics and Statistics from Central South University, Changsha, China. His research interests include multi-agent systems, stochastic system, machine learning, and distributed control.
Lipo Mo received his B.S. degree in mathematics and applied mathematics from Shihezi university, Shihezi, China, in 2003, and a Ph.D. degree in control theory from the School of Mathematics and Systems Science, Beihang University, Beijing, China, in 2010. He is currently a Professor with the School of E-Business and Logistics, Beijing Technology and Business University, and the School of Mathematics and Statistics, Beijing Technology and Business University, Beijing. His research interests include systems engineering, distributed control and optimization, big data and applied statistics, and supply chain management.
Fei Long received his M.S. degree from the Department of Mathematics, Guizhou University, China, in 2001, and a Ph.D. degree from the College of Automation from Southeast University, Nanjing, in 2006. Currently, he is a professor at Guizhou Institute of Technology. His research interests include switched systems and multiagent systems.
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Hu, H., Mo, L. & Long, F. Stochastic Consensus for Heterogeneous Multi-agent Networks With Constraints and Communication Noises. Int. J. Control Autom. Syst. 22, 1150–1162 (2024). https://doi.org/10.1007/s12555-022-1055-y
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DOI: https://doi.org/10.1007/s12555-022-1055-y