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Security-protocol-based sliding mode control for singularly perturbed complex networks with dual-layer switching mechanism

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Abstract

This paper addresses the challenges pertaining to security–protocol–based sliding mode control (SMC) for singularly perturbed complex networks (SPCNs), where the sensor-observer channel is susceptible to false data injection (FDI) attacks employing a multi-strategy attack (MSA) model. By leveraging singular perturbation theory, we introduce a two-time-scaling approach that incorporates both fast and slow states to accurately model the dynamics of the complex networks (CNs), resulting in more realistic network representations. Firstly, the system model simultaneously considers a more general dual-layer switching frame, encompassing Markov stochastic switching and persistent dwell-time(PDT) arbitrary switching, and to mitigate network communication burden and optimize bandwidth utilization, a weighted-try-once-discard (WTOD) protocol with a hybrid compensation method (HCM) is synthesized, enabling the derivation of compensatory measurements that closely approximate real values; Secondly, a sliding mode controller (SMCE) is formulated to drive the state into the sliding domain surrounding the pre-specified sliding mode surface (SMS), moreover, by employing the Lyapunov approach, some sufficient conditions are established to guarantee the stability of the sliding mode dynamics (SMD), along with the resulting closed-loop system (CLS) exhibiting the desired \(H_{\infty }\) performance; Finally, a practical example of a mass-spring-damper system is provided to demonstrate the feasibility and effectiveness of the proposed methodology.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 11661028, the Natural Science Foundation of Guangxi under Grant 2020GXNSFAA159141, Guangxi Philosophy and Social Science Programming Project (2022) under Grant 22BTJ001.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Guilin University of Technology, Guilin, 541004, Guangxi, People’s Republic of China

    Yuzhuo Zhang & Mengzhuo Luo

  2. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, Guangxi, People’s Republic of China

    Jun Cheng

  3. Department of Computer Science, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Iyad Katib

  4. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, Sichuan, People’s Republic of China

    Kaibo Shi

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  1. Yuzhuo Zhang
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Correspondence to Mengzhuo Luo.

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Zhang, Y., Luo, M., Cheng, J. et al. Security-protocol-based sliding mode control for singularly perturbed complex networks with dual-layer switching mechanism. Nonlinear Dyn 112, 1971–1995 (2024). https://doi.org/10.1007/s11071-023-09144-9

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  • DOI: https://doi.org/10.1007/s11071-023-09144-9

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