- Fuyong Wang (王付永) ORCID:orcid.org/0000-0002-2747-96351,2,
- Zhongxin Liu (刘忠信) ORCID:orcid.org/0000-0002-3565-48001,2 &
- Zengqiang Chen (陈增强) ORCID:orcid.org/0000-0002-1415-40731,2
139Accesses
1Citation
Abstract
This paper studies the sampled data based containment control problem of second-order multi-agent systems with intermittent communications, where velocity measurements for each agent are unavailable. A novel controller for second-order containment is put forward via intermittent sampled position data measurement. Several necessary and sufficient conditions are derived to achieve intermittent sampled containment control by means of analyzing the relationship among control gains, eigenvalues of the Laplacian matrix, the sampling period, and the communication width. Finally, several simulation examples are used to testify the correctness and effectiveness of the theoretical results.
摘要
在间歇通信且智能体间相对速度不可测的情况下, 基于采样位置数据研究了二阶多智能体系统的包含控制问题, 提出一种基于间歇采样位置测量的二阶分布式包含控制器. 通过分析系统控制增益、 拉普拉斯矩阵特征值、 采样周期和通信宽度之间的关系, 得到二阶多智能体系统在间歇通信下实现包含控制的充要条件. 最后, 通过仿真实例验证了理论结果的正确性和有效性.
This is a preview of subscription content,log in via an institution to check access.
Access this article
Subscribe and save
- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime
Buy Now
Price includes VAT (Japan)
Instant access to the full article PDF.
Similar content being viewed by others
Containment Control of Multi-Agent Systems with Stochastic Multiplicative Noises
References
Hong YG, Chen GR, Bushnell L, 2008. Distributed observers design for leader-following control of multi-agent networks.Automatica, 44(3):846–850.https://doi.org/10.1016/j.automatica.2007.07.004
Horn RA, Johnson CR, 1985. Matrix Analysis. Cambridge University Press, Cambridge, UK.
Li JZ, Ren W, Xu SY, 2012. Distributed containment control with multiple dynamic leaders for double-integrator dynamics using only position measurements.IEEE Trans Autom Contr, 57(6):1553–1559.https://doi.org/10.1109/TAC.2011.2174680
Liu HY, Xie GM, Wang L, 2012. Necessary and sufficient conditions for containment control of networked multiagent systems.Automatica, 48(7):1415–1422.https://doi.org/10.1016/j.automatica.2012.05.010
Liu KE, Xie GM, Wang L, 2014. Containment control for second-order multi-agent systems with time-varying delays.Syst Contr Lett, 67:24–31.https://doi.org/10.1016/j.sysconle.2013.12.013
Liu TF, Qi J, Jiang Z, 2020. Distributed containment control of multi-agent systems with velocity and acceleration saturations.Automatica, 117:108992.https://doi.org/10.1016/j.automatica.2020.108992
Liu YF, Su HS, 2020a. Necessary and sufficient conditions for containment in fractional-order multiagent systems via sampled data.IEEE Trans Syst Man Cybern Syst, online.https://doi.org/10.1109/TSMC.2020.2997294
Liu YF, Su HS, 2020b. Some necessary and sufficient conditions for containment of second-order multi-agent systems with sampled position data.Neurocomputing, 378:228–237.https://doi.org/10.1016/j.neucom.2019.10.031
Liu YF, Su HS, 2021. Some necessary and sufficient conditions for containment of second-order multi-agent systems with intermittent sampled data.ISA Trans, 108:154–163.https://doi.org/10.1016/j.isatra.2020.08.014
Mei J, Ren W, Ma GF, 2013. Distributed coordination for second-order multi-agent systems with nonlinear dynamics using only relative position measurements.Automatica, 49(5):1419–1427.https://doi.org/10.1016/j.automatica.2013.01.058
Rockafellar RT, 1972. Convex Analysis. Princeton University Press, Princeton, USA.
Shi L, Xiao Y, Shao JL, et al., 2020. Containment control of asynchronous discrete-time general linear multiagent systems with arbitrary network topology.IEEE Trans Cybern, 50(6):2546–2556.https://doi.org/10.1109/TCYB.2019.2915941
Su HS, Liu YF, Zeng ZG, 2020. Second-order consensus for multi-agent systems via intermittent sampled position data control.IEEE Trans Cybern, 50(5):2063–2072.https://doi.org/10.1109/TCYB.2018.2879327
Sun YN, Zou WC, Guo J, 2021. Containment control for heterogeneous nonlinear multi-agent systems under distributed event-triggered schemes.Front Inform Technol Electron Eng, 22(1):107–119.https://doi.org/10.1631/FITEE.2000034
Wang D, Wang D, Wang W, 2019. Necessary and sufficient conditions for containment control of multi-agent systems with time delay.Automatica, 103(5):418–423.https://doi.org/10.1016/j.automatica.2018.12.029
Wang FY, Liu ZX, Chen ZQ, 2018. Distributed containment control for second-order multiagent systems with time delay and intermittent communication.Int J Rob Nonl Contr, 28(18):5730–5746.https://doi.org/10.1002/rnc.4341
Wang FY, Liu ZX, Chen ZQ, 2019a. Containment control for second-order nonlinear multi-agent systems with aperiodically intermittent position measurements.J Franklin Inst, 356(15):8706–8725.https://doi.org/10.1016/j.jfranklin.2018.11.057
Wang FY, Liu ZX, Chen ZQ, et al., 2019b. Containment control for second-order nonlinear multi-agent systems with intermittent communications.Int J Syst Sci, 50(5):919–934.https://doi.org/10.1080/00207721.2019.1585997
Wang FY, Ni YH, Liu ZX, et al., 2020a. Containment control for general second-order multiagent systems with switched dynamics.IEEE Trans Cybern, 50(2):550–560.https://doi.org/10.1109/TCYB.2018.2869706
Wang FY, Ni YH, Liu ZX, et al., 2020b. Fully distributed containment control for second-order multi-agent systems with communication delay.ISA Trans, 99:123–129.https://doi.org/10.1016/j.isatra.2019.09.009
Wen GH, Zhao Y, Duan ZS, et al., 2016. Containment of higher-order multi-leader multi-agent systems: a dynamic output approach.IEEE Trans Autom Contr, 61(4):1135–1140.https://doi.org/10.1109/TAC.2015.2465071
Xiao WB, Ren HR, Zhou Qi, et al., 2021. Distributed finite-time containment control for nonlinear multiagent systems with mismatched disturbances.IEEE Trans Cybern, online.https://doi.org/10.1109/TCYB.2020.3042168
Yu WW, Zheng WX, Chen GR, et al., 2011. Second-order consensus in multi-agent dynamical systems with sampled position data.Automatica, 47(7):1496–1503.https://doi.org/10.1016/j.automatica.2011.02.027
Yu ZY, Jiang HJ, Hu C, 2018. Second-order consensus for multiagent systems via intermittent sampled data control.IEEE Trans Syst Man Cybern Syst, 48(11):1986–2002.https://doi.org/10.1109/TSMC.2017.2687944
Zou WC, Xiang ZR, 2019. Event-triggered containment control of second-order nonlinear multi-agent systems.J Franklin Inst, 356(17):10421–10438.https://doi.org/10.1016/j.jfranklin.2018.05.060
Zou WC, Guo J, Xiang ZR, 2018. Sampled-data leader-following consensus of second-order nonlinear multiagent systems without velocity measurements.Int J Rob Nonl Contr, 28(17):5634–5651.https://doi.org/10.1002/rnc.4340
Author information
Authors and Affiliations
Department of Automation, College of Artificial Intelligence, Nankai University, Tianjin, 300350, China
Fuyong Wang (王付永), Zhongxin Liu (刘忠信) & Zengqiang Chen (陈增强)
Tianjin Key Laboratory of Intelligent Robotics, College of Artificial Intelligence, Nankai University, Tianjin, 300350, China
Fuyong Wang (王付永), Zhongxin Liu (刘忠信) & Zengqiang Chen (陈增强)
- Fuyong Wang (王付永)
You can also search for this author inPubMed Google Scholar
- Zhongxin Liu (刘忠信)
You can also search for this author inPubMed Google Scholar
- Zengqiang Chen (陈增强)
You can also search for this author inPubMed Google Scholar
Corresponding author
Correspondence toZhongxin Liu (刘忠信).
Additional information
Project supported by the Tianjin Natural Science Foundation of China (Nos. 20JCQNJC01450 and 20JCYBJC01060) and the National Natural Science Foundation of China (No. 61973175)
Contributors
Fuyong WANG designed the research. Fuyong WANG, Zhongxin LIU, and Zengqiang CHEN contributed to the idea, technical discussion, and measurements. Fuyong WANG drafted the manuscript. Zhongxin LIU and Zengqiang CHEN helped organize the manuscript. Fuyong WANG, Zhongxin LIU, and Zengqiang CHEN revised and finalized the paper.
Compliance with ethics guidelines
Fuyong WANG, Zhongxin LIU, and Zengqiang CHEN declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
Wang, F., Liu, Z. & Chen, Z. Sampled data based containment control of second-order multi-agent systems under intermittent communications.Front Inform Technol Electron Eng22, 1059–1067 (2021). https://doi.org/10.1631/FITEE.2000204
Received:
Accepted:
Published:
Issue Date:
Key words
- Containment control
- Second-order multi-agent system
- Sampled position data
- Intermittent communication
- Communication width