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

• Published in: Nonlinear dynamics Vol. 112; no. 3; pp. 1971 - 1995
• Main Authors: Zhang, Yuzhuo, Luo, Mengzhuo, Cheng, Jun, Katib, Iyad, Shi, Kaibo
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.02.2024; Springer Nature B.V
• Subjects: Automotive Engineering; Bandwidths; Classical Mechanics; Closed loops; Communication; Control; Dwell time; Dynamic stability; Dynamical Systems; Engineering; Feedback control; H-infinity control; Investigations; Mass-spring-damper systems; Mechanical Engineering; Networks; Original Paper; Perturbation theory; Process controls; Security; Sensors; Singular perturbation; Sliding mode control; Switching; Vibration; Hybrid compensation; Singularly perturbed complex networks; WTOD protocol; Multi-strategy attack; Dual-layer switching
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-023-09144-9

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 ∞ performance; Finally, a practical example of a mass-spring-damper system is provided to demonstrate the feasibility and effectiveness of the proposed methodology.