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Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach

Author

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  • Xia, Pei-Zhen
  • Chang, Xiao-Heng

Abstract

In this article, the problem of observer-based security control for interval type-2 nonlinear networked systems with stochastic communication protocol (SCP) and denial-of-service (DoS) attacks is investigated. To begin with, considering the limited network bandwidth, a novel SCP is proposed to avoid data conflicts in information transmission. In particular, compared with the existing SCP, the SCP constructed in this article is scheduled by semi-Markov kernel, and the probability density function of its sojourn-time is assured by both the current mode and the next mode. Then, considering the influence of SCP and DoS attacks, the cooperative design conditions of observer-based security controller based on mode-dependent and fuzzy-dependent are given. Furthermore, a mode-dependent and sojourn-time-dependent Lyapunov function is adopted, and a sufficient condition for the mean square exponential stability of the closed-loop system is ensured. Finally, the feasibility of the method is verified by a mechanical motion model.

Suggested Citation

  • Xia, Pei-Zhen & Chang, Xiao-Heng, 2025. "Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach," Applied Mathematics and Computation, Elsevier, vol. 498(C).
    • Handle: RePEc:eee:apmaco:v:498:y:2025:i:c:s0096300325001213
    DOI: 10.1016/j.amc.2025.129394
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    References listed on IDEAS

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    1. Elayabharath, V.T. & Sozhaeswari, P. & Tatar, N. & Sakthivel, R. & Satheesh, T., 2025. "Resilient observer-based unified state and fault estimation for nonlinear parabolic PDE systems via fuzzy approach over finite-time interval," Applied Mathematics and Computation, Elsevier, vol. 488(C).
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    3. Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
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    Cited by:

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    8. Guo, Shanshan & Li, Jinghao & Yang, Guang-Hong, 2026. "Deep neural network-based adaptive supervisory control for strict-feedback nonlinear systems with sensor and actuator faults," Applied Mathematics and Computation, Elsevier, vol. 511(C).
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    10. Guo, Chaoqun & Hu, Yue & Kwon, Oh-Min & Zhao, Jianrong & Lee, Seung-Hoon, 2026. "Fuzzy-model-based output feedback control for nonlinear singularly perturbed systems with time-scale-dependent decode-and-forward relay strategy," Applied Mathematics and Computation, Elsevier, vol. 514(C).
    11. Li, Changhao & Pan, Yingnan & Sun, Xingjian, 2026. "Protocol-based security controller design for networked control systems with DoS attacks compensation mechanism," Applied Mathematics and Computation, Elsevier, vol. 517(C).

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