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| Consensus control of second-order stochastic discrete-time multi-agent systems without velocity transmission |
| Zi-XuanWang1,2,3,XiaofengZong1,2,3,Ling-JieGai1,2,3 |
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| (1 School of Automation, China University of Geosciences, Wuhan 430074, China
2 Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, Hubei, China
3 Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan, Hubei, China) |
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| 摘要: |
| This article studies the almost-sure and the mean-square consensus control problems of second-order stochastic discretetime
multi-agent systems with multiplicative noises. First, a control law based on the absolute velocity and relative position
information is designed. Second, considering the existence of multiplicative noises and nonlinear terms with Lipschitz
constants, the consensus control problem is solved through the use of a degenerated Lyapunov function. Then, for the linear
second-order multi-agent systems, some explicit consensus conditions are provided. Finally, two sets of numerical simulations
are performed. |
| 关键词: Consensus control · Multiplicative noises · Second-order · Discrete-time · Multi-agent system |
| DOI：https://doi.org/10.1007/s11768-023-00173-8 |
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| 基金项目:This work was supported by the National Natural Science Foundation of China (No. 62073305), the Hubei Provincial Natural Science Foundation (No. 2022CFA041) and the 2022 Innovation and Entrepreneurship Plan for College Students of China University of Geosciences, Wuhan, China (No. S202210491203). |
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| Consensus control of second-order stochastic discrete-time multi-agent systems without velocity transmission |
| Zi-Xuan Wang1,2,3,Xiaofeng Zong1,2,3,Ling-Jie Gai1,2,3 |
| (1 School of Automation, China University of Geosciences, Wuhan 430074, China
2 Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, Hubei, China
3 Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan, Hubei, China) |
| Abstract: |
| This article studies the almost-sure and the mean-square consensus control problems of second-order stochastic discretetime
multi-agent systems with multiplicative noises. First, a control law based on the absolute velocity and relative position
information is designed. Second, considering the existence of multiplicative noises and nonlinear terms with Lipschitz
constants, the consensus control problem is solved through the use of a degenerated Lyapunov function. Then, for the linear
second-order multi-agent systems, some explicit consensus conditions are provided. Finally, two sets of numerical simulations
are performed. |
| Key words: Consensus control · Multiplicative noises · Second-order · Discrete-time · Multi-agent system |
