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    This study introduces methods for secure state estimation and control in cyber-physical systems (CPSs) facing sensor attacks. The proposed distributed observers and controllers ensure accurate state estimation and system stability, even under attacks.

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    Area of Science:

    • Cyber-Physical Systems (CPSs)
    • Control Theory
    • Network Security

    Background:

    • Interconnected cyber-physical systems are vulnerable to sensor attacks, compromising state estimation and control.
    • Unidentifiable attacks pose a significant challenge to system security and stability.

    Purpose of the Study:

    • To develop distributed secure state estimation and control strategies for CPSs under sensor attacks.
    • To establish conditions for the solvability of secure state estimation problems.

    Main Methods:

    • Exploration of unidentifiable attack properties in CPSs.
    • Design of distributed preselectors and observers for secure state estimation.
    • Development of fractional dynamic surface-based distributed secure controllers.

    Main Results:

    • An explicit sufficient condition for solvable secure state estimation is established.
    • Distributed secure observers and controllers achieve finite-time state estimation and dynamic surface maintenance under attacks.
    • The proposed methods are validated on an islanded micro-grid system.

    Conclusions:

    • The proposed distributed schemes effectively address secure state estimation and control in attacked CPSs.
    • Finite-time convergence for state estimation and control is guaranteed.
    • The approach enhances the resilience of interconnected systems like micro-grids.