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Resilient control of networked switched systems subject to deception attack and DoS attack

Rui Zhao, Zhiqiang Zuo, Ying Tan, Yijing Wang, Wentao Zhang

TL;DR

This paper addresses resilience of networked switched systems subject to concurrent deception and DoS attacks, where asynchronous controller and subsystem modes complicate stabilization. It develops a two-layer approach: first, time-dependent switching with LMIs to guarantee practical mean-square stability and compute an explicit $\ell$-security level and an asymptotic bound $\psi$; second, a mixed-switching control strategy that combines dwell-time and state-dependent switching to achieve global asymptotic stability in mean square under attack, including asynchronous effects. The key contributions are explicit LMIs and a quantified security level $\ell$ alongside a practical energy bound $\psi$, and a novel mixed switching framework that leverages both strategies to improve resilience against deception attacks. Numerical simulations across three examples validate the theory, show how attack parameters influence resilience, and demonstrate that the mixed-switching approach can outperform purely time- or state-driven switching in achieving stability under cyber-physical attacks.

Abstract

In this paper, the resilient control for switched systems in the presence of deception attack and denial-of-service (DoS) attack is addressed. Due to the interaction of two kinds of attacks and the asynchronous phenomenon of controller mode and subsystem mode, the system dynamics becomes much more complex. A criterion is derived to ensure the mean square security level of the closed-loop system. This in turn reveals the balance of system resilience and control performance. Furthermore, a mixed-switching control strategy is put forward to make the system globally asymptotically stable. It is shown that the system will still converge to the equilibrium even if the deception attack occurs. Finally, simulations are carried out to verify the effectiveness of the theoretical results.

Resilient control of networked switched systems subject to deception attack and DoS attack

TL;DR

This paper addresses resilience of networked switched systems subject to concurrent deception and DoS attacks, where asynchronous controller and subsystem modes complicate stabilization. It develops a two-layer approach: first, time-dependent switching with LMIs to guarantee practical mean-square stability and compute an explicit -security level and an asymptotic bound ; second, a mixed-switching control strategy that combines dwell-time and state-dependent switching to achieve global asymptotic stability in mean square under attack, including asynchronous effects. The key contributions are explicit LMIs and a quantified security level alongside a practical energy bound , and a novel mixed switching framework that leverages both strategies to improve resilience against deception attacks. Numerical simulations across three examples validate the theory, show how attack parameters influence resilience, and demonstrate that the mixed-switching approach can outperform purely time- or state-driven switching in achieving stability under cyber-physical attacks.

Abstract

In this paper, the resilient control for switched systems in the presence of deception attack and denial-of-service (DoS) attack is addressed. Due to the interaction of two kinds of attacks and the asynchronous phenomenon of controller mode and subsystem mode, the system dynamics becomes much more complex. A criterion is derived to ensure the mean square security level of the closed-loop system. This in turn reveals the balance of system resilience and control performance. Furthermore, a mixed-switching control strategy is put forward to make the system globally asymptotically stable. It is shown that the system will still converge to the equilibrium even if the deception attack occurs. Finally, simulations are carried out to verify the effectiveness of the theoretical results.
Paper Structure (13 sections, 6 theorems, 68 equations, 12 figures, 3 tables)

This paper contains 13 sections, 6 theorems, 68 equations, 12 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Problem formulation
  3. Main Results
  4. Time-dependent switching signal
  5. Mixed-switching control strategy
  6. Simulations
  7. Example 1
  8. Example 2
  9. Example 3
  10. Conclusion
  11. Proof of Theorem \ref{['thm1']}
  12. Proof of Theorem \ref{['thm2']}
  13. Proof of Theorem \ref{['thm3']}

Key Result

Theorem 1

Given scalars $\mu > 1$, $0< \rho_s <1$, $\rho_u > 0$, $\overline{\alpha},~\overline{\beta} \in [0,1]$, $c= \overline{\beta}\frac{1+\rho_u}{1-\rho_s} < 1$, and matrices $K_p$ guaranteeing $A_p+B_pK_p$ are Schur stable. If there exist matrices $P_p\succ0,~p\in \mathcal{M}$ and a positive constant $\ where $\widetilde{\alpha} = ~\overline{\alpha}\left(1-\overline{\alpha}\right),~\widetilde{\beta} =

Figures (12)

  • Figure 1: A framework for switched system under deception attack and DoS attack.
  • Figure 2: The organization of this paper
  • Figure 3: The switching signal for Example 1
  • Figure 4: The norm of state and the bound $\psi$ for Example 1
  • Figure 5: The norm of state and the bound $\psi$ under different deception attack probabilities with the same DoS attack probability and deception attack level for Example 1.
  • ...and 7 more figures

Theorems & Definitions (28)

  • Remark 1
  • Remark 2
  • Remark 3
  • Remark 4
  • Remark 5
  • Definition 1: DT
  • Definition 2: def2
  • Definition 3: def3
  • Definition 4: IET2016
  • Theorem 1
  • ...and 18 more