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H2 state-feedback control for discrete-time cyber-physical uncertain systems under DoS attacks

Author

Listed:
  • Oliveira, Pedro M.
  • Palma, Jonathan M.
  • Lacerda, Márcio J.

Abstract

This paper investigates the packet-based state-feedback control problem for uncertain discrete-time cyber-physical systems. The presence of Denial of Service (DoS) attacks is considered, and the dynamics of the closed-loop system under attacks is modeled as a switched uncertain system. The H2 performance criteria is employed to assess the robustness of the system. Moreover, three strategies are considered in the control design: i) the use of a full packet of controllers, ii) the zero-input strategy, which sets the control to zero in the presence of an attacker, and iii) the hold strategy, that keeps the same control input during the DoS attack. The conditions are formulated as parameter-dependent linear matrix inequalities, and the Lyapunov theory was employed to derive the conditions. Numerical experiments are employed to illustrate the efficacy of the method when considering the H2 performance criteria.

Suggested Citation

  • Oliveira, Pedro M. & Palma, Jonathan M. & Lacerda, Márcio J., 2022. "H2 state-feedback control for discrete-time cyber-physical uncertain systems under DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001758
    DOI: 10.1016/j.amc.2022.127091
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    References listed on IDEAS

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