全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

LMI-Based Sliding Mode Robust Control for a Class of Multi-Agent Linear Systems

DOI: 10.4236/oalib.1108342, PP. 1-7

Subject Areas: Automata

Keywords: Linear Matrix Inequality, Multi-Agent Linear System, Asymptotic Stability

Full-Text   Cite this paper   Add to My Lib

Abstract

This study deals with the multi-agent linear system, which is a more realistic and accurate discrete model with disturbance terms. Based on linear matrix inequality technology and sliding mode control, we give the forward-feedback control term. Furthermore, sufficient conditions for the closed-loop system are established by Lyapunov stability theory. Results of simulation show that the proposed method is effective.

Cite this paper

Li, T. , Wang, W. , Zhang, Y. and Tan, X. (2022). LMI-Based Sliding Mode Robust Control for a Class of Multi-Agent Linear Systems. Open Access Library Journal, 9, e8342. doi: http://dx.doi.org/10.4236/oalib.1108342.

References

[1]  Liu, J.K. (2017) Sliding Mode Control and MATLAB Simulating. The Basic Theory and Design Method. 3rd Edition, Peking University Press, Beijing.
[2]  Liu, J.K. (2017) Robot Control System Design and Matlab Simulation the Advanced Design Method. Springer, London.
[3]  Liu, J.K. (2015) Sliding Mode Control and MATLAB Simulating. The Design Method of Advanced Control System. 3th Edition, Tsinghua University Press, Beijing.
[4]  Han, Q.L. (2003) Stability Criteria for a Class of Linear Neutral Systems with Time- Varying Discrete and Distributed Delays. IMA Journal of Mathematical Control and Information, 20, 371-386. https://doi.org/10.1093/imamci/20.4.371
[5]  Yuan, J.X., Xu, W.H., Qiu, Z. and Wang, F.X. (2017) Sliding Mode Control of Supersonic Aeroelastic Flutter via LMI. 2017 IEEE 2nd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC), Chengdu, 15-17 December 2017, 949-956. https://doi.org/10.1109/ITNEC.2017.8284877
[6]  Young, K.K.D. and Özgüner, U. (1999) Variable Structure Systems, Sliding Mode and Nonlinear Control. Springer, London. https://doi.org/10.1007/BFb0109967
[7]  Mahmoud, M.S. and Khan, G.D. (2018) LMI Consensus Condition for Discrete-Time Multi-Agent Systems. IEEE/CAA Journal of Automatica Sinica, 5, 509-513. https://doi.org/10.1109/JAS.2016.7510016
[8]  Han, Y., Kao, Y. and Gao, C. (2017) Robust Sliding Mode Control for Uncertain Discrete Singular Systems with Time-Varying Delays and External Disturbances, 75, 210-216. https://doi.org/10.1016/j.automatica.2016.10.001
[9]  Utkin, V. (1992) Sliding Modes in Optimization and Control Problems. Springer Verlag, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84379-2
[10]  Edwards, C. and Spurgeon, S.K. (1998) Sliding Mode Control: Theory and Applications. CRC Press, London. https://doi.org/10.1201/9781498701822
[11]  Shtessel, Y., Edwards, C., Fridman, L. and Levant, A. (2014) Sliding Mode Control and Observation. Birkhäuser, New York. https://doi.org/10.1007/978-0-8176-4893-0
[12]  Xu, D., Liu, Q., Yan, W. and Yang, W. (2019)Adaptive Terminal Sliding Mode Control for Hybrid Energy Storage Systems of Fuel Cell, Battery and Supercapacitor. IEEE Access, 7, 29295-29303. https://doi.org/10.1109/ACCESS.2019.2897015
[13]  Goyal, V., Deolia, V. and Sharma, T. (2015) Robust Sliding Mode Control for Nonlinear Discrete-Time Delayed Systems Based on Neural Network. Intelligent Control and Automation, 6, 75-83. https://doi.org/10.4236/ica.2015.61009
[14]  Han, H.C. (2007) LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems. IEEE Transactions on Automatic Control, 52, 736-742. https://doi.org/10.1109/TAC.2007.894543
[15]  Wang, H., Han, Z.Z., Xie, Q.Y. and Zhang, W. (2009) Sliding Mode Control for Chaotic Systems Based on LMI. Communications in Nonlinear Science and Numerical Simulation, 14, 1410-1417. https://doi.org/10.1016/j.cnsns.2007.12.006
[16]  Gabriel, G.W., Goncalves, T.R. and Geromel, J.C. (2018) Optimal and Robust Sampled-Data Control of Markov Jump Linear Systems: A Differential LMI Approach. IEEE Transactions on Automatic Control, 63, 3504-3060. https://doi.org/10.1109/TAC.2018.2797212

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413