Journal of Lanzhou University of Technology ›› 2026, Vol. 52 ›› Issue (1): 85-92.

• Automation Technique and Computer Technology • Previous Articles     Next Articles

Security control of cyber-physical systems with mixed time-delays under all-around attacks

ZHU Chao-qun1,2,3, LIU Shu-hui1, JIA Xuan1, HUANG Miao-miao4   

  1. 1. School of Automation and Electrical Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
    2. Key Laboratory of Gansu Advanced Control for Industrial Processes, Lanzhou University of Technology, Lanzhou 730050, China;
    3. National Demonstration Center for Experimental Electrical and Control Engineering Education, Lanzhou University of Technology, Lanzhou 730050, China;
    4. School of Science, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2023-09-01 Online:2026-02-28 Published:2026-03-05

Abstract: The security control problem is investigated for the nonlinear information physical system with mixed time-delays under an all-around attack environment. Firstly, a time-delay system model with multiple constraint parameters is established by considering the effect of cyber-attacks, physical attacks, and mixed time-delays. Secondly, sufficient conditions are derived for the closed-loop system to be mean-square stable by utilizing the Lyapunov theory and linear matrix inequality technology. Based on these results, a secure controller ensuring the mean-square stability of the system is designed. Finally, the correctness and effectiveness of the proposed control method are verified by a simulation example.

Key words: cyber-physical systems, all-around attacks, mixed time-delays, security control

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