Adaptive security control of time-varying constraints nonlinear cyber-physical systems with false data injection attacks

Abstract

In this article, an adaptive security control scheme is presented for cyber-physical systems (CPSs) suffering from false data injection (FDI) attacks and time-varying state constraints. Firstly, an adaptive bound estimation mechanism is introduced in the backstepping control design to mitigate the effect of FDI attacks. Secondly, to solve the unknown sign time-varying state-feedback gains aroused by the FDI attacks, a type of Nussbaum function is employed in the adaptive security control. Then, by constructing a barrier Lyapunov function, it can be ensured that all signals of controlled system are bounded and the time-varying state constraints are not transgressed. Finally, the provided simulation examples demonstrate the effectiveness of the proposed controller.

Keywords:

• Neural networks
• backstepping technology
• false data injection (FDI) attacks
• nonlinear cyber-physical systems controls

Acknowledgements

This work was supported in part by Funds of National Science of China (Grant no. 61973146, 62173172, 61833001), in part by the Doctoral Research Initiation of Foundation of Liaoning Province (No. 20180540047), and in part by the Distinguished Young Scientific Research Talents Plan in Liaoning Province (No. XLYC1907077, JQL201915402).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Yue-Ming Wang

Yue-Ming Wang received the B.S. degree in Information and Computing Sciences from Liaoning University of Technology, China, in 2021. She is currently pursuing the M.S. degree in Mathematics from the Liaoning University of Technology, Jinzhou, China. Her current research interests include adaptive security control, and nonlinear cyber-physical systems.

Yuan-Xin Li

Yuan-Xin Li received the B.S. degree in Mathematics and Applied Mathematics from Qufu Normal University, China, in 2007, the M.S. degree in Computational Mathematics from the College of Mathematical Sciences, Dalian University of Technology, Dalian, China, in 2009, and the Ph.D. degree in Control Theory and Control Engineering from the College of Information Science and Engineering, Northeastern University, Shenyang, China, in 2017. He is currently a professor in the Department of Science, Liaoning University of Technology, Jinzhou, China. His research interests include adaptive fuzzy/ neural control, fault-tolerant control, event-triggered control and adaptive control of cyber-physical Systems.