Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks

Lei Liu; Lifeng Ma; Jie Zhang; Yuming Bo

doi:10.1109/JAS.2019.1911531

Volume 7 Issue 6

Oct. 2020

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2020 > 7(6): 1638-1648

Lei Liu, Lifeng Ma, Jie Zhang and Yuming Bo, "Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks," IEEE/CAA J. Autom. Sinica, vol. 7, no. 6, pp. 1638-1648, Nov. 2020. doi: 10.1109/JAS.2019.1911531

Citation:

Lei Liu, Lifeng Ma, Jie Zhang and Yuming Bo, "Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks," IEEE/CAA J. Autom. Sinica, vol. 7, no. 6, pp. 1638-1648, Nov. 2020. doi: 10.1109/JAS.2019.1911531

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Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks

doi: 10.1109/JAS.2019.1911531

Funds: This work was supported in part by the National Natural Science Foundation of China (61773209), the Six Talent Peaks Project in Jiangsu Province (XYDXX-033), the Postdoctoral Science Foundation of China (2014M551598), and the Natural Science Foundation of Jiangsu Province (BK20190021)

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Author Bio:
Lei Liu received the B.Sc. degree in automatic control from Nanjing Forestry University, in 2012. He is currently pursuing the Ph.D. degree in control science and engineering at the School of Automation, Nanjing University of Science and Technology. His current research interests include stochastic filtering, multiagent system, variable structure control, and networked control systems

Lifeng Ma received the Ph.D. degree in control science and engineering from Nanjing University of Science and Technology, in 2010. From 2008 to 2009, he was a Visiting Ph.D. Student with the Department of Information Systems and Computing, Brunel University London, London, UK. From 2010 to 2011, he was a Research Associate with the Department of Mechanical Engineering, the University of Hong Kong. From 2015 to 2017, he was a Visiting Research Fellow with King’s College London, London, UK. He is currently a Professor with the School of Automation, Nanjing University of Science and Technology. He has published more than 20 papers in refereed international journals. His current research interests include nonlinear control and signal processing, variable structure control, distributed control and filtering, time-varying systems, and multiagent systems. Dr. Ma serves as an Editor for Neurocomputing. He is an active reviewer for many international journals

Jie Zhang received the B.Sc. degree in automatic control in 2002, the M.Sc. degree in automatic control in 2004 and the Ph.D. degree in control theory and control engineering in 2011, all from Nanjing University of Science and Technology. From April 2013 to March 2014 he was an Academic Visitor in the Department of Information Systems and Computing, Brunel University, UK. He is currently an Research Fellow at the School of Automation, Nanjing University of Science and Technology. His current research interests include stochastic systems, networked systems, stochastic control, and neural networks

Yuming Bo received the Ph.D. degree from Nanjing University of Science and Technology. He is a Professor at the School of Automation Nanjing University of Science and Technology. His research interests include filtering and system optimization. He was granted a secondary prize of Natural science from the Ministry of Education of China in 2005 and a secondary prize of technology promotion from Shandong Province in 2012. Professor Bo is a member of the Chinese Association of Automation and Vice Chairman of Jiangsu Branch. He is a standing council member of China Command and Control Society
Corresponding author: The authors are with the School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China, and L. F. Ma is also with the Department of Informatics, School of Natural and Mathematical Science, Kings College London, London WC2R 2LS, UK (e-mail: liulei@njust.edu.cn; malifeng@njust.edu.cn; zhangjie.njust@gmail.com; byming@njust.edu.cn)
Received Date: 2019-01-22
Accepted Date: 2019-03-03

Available Online: 2019-05-17

Abstract

Abstract

This paper investigates the sliding mode control (SMC) problem for a class of discrete-time nonlinear networked Markovian jump systems (MJSs) in the presence of probabilistic denial-of-service (DoS) attacks. The communication network via which the data is propagated is unsafe and the malicious adversary can attack the system during state feedback. By considering random Denial-of-Service attacks, a new sliding mode variable is designed, which takes into account the distribution information of the probabilistic attacks. Then, by resorting to Lyapunov theory and stochastic analysis methods, sufficient conditions are established for the existence of the desired sliding mode controller, guaranteeing both reachability of the designed sliding surface and stability of the resulting sliding motion. Finally, a simulation example is given to demonstrate the effectiveness of the proposed sliding mode control algorithm.
- Denial-of-service (DoS) attacks,
- Markovian jump systems (MJSs),
- networked control systems (NCSs),
- sliding mode control (SMC)

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References(43)

References

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A new sliding mode variable is constructed, containing the message of DoS attack.
A sliding mode control algorithm is developed under DoS attack.
The developed sliding mode control algorithm can effectively deal with DoS attack.

Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks

doi: 10.1109/JAS.2019.1911531

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