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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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Sliding Mode Fuzzy Control of Stochastic Nonlinear Systems Under Cyber-Attacks.

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    This study introduces integral sliding mode control (ISMC) for nonlinear systems facing cyber-attacks. The proposed fuzzy ISMC scheme ensures system stability and bounded states under stochastic conditions and cyber threats.

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    Area of Science:

    • Control Theory
    • Nonlinear Systems
    • Cyber-Physical Systems

    Background:

    • Investigates integral sliding mode control (ISMC) for nonlinear systems with stochastic dynamics.
    • Addresses the challenge of cyber-attacks impacting control system performance and stability.
    • Utilizes Takagi-Sugeno fuzzy models to represent complex nonlinear stochastic systems.

    Purpose of the Study:

    • To develop and analyze a dynamic integral sliding mode control (ISMC) scheme for nonlinear stochastic systems under cyber-attack.
    • To ensure finite-time convergence to the integral sliding surface and guarantee closed-loop stability.
    • To demonstrate the boundedness of all signals and asymptotic stochastic stability of the system states.

    Main Methods:

    • Modeling the control system and cyber-attack using Itô-type stochastic differential equations.
    • Applying a universal dynamic integral sliding mode control (ISMC) scheme.
    • Employing linear matrix inequalities (LMIs) to analyze system stability and performance.
    • Utilizing a Takagi-Sugeno fuzzy model approach for nonlinear system representation.

    Main Results:

    • The proposed fuzzy ISMC scheme confines system trajectories to the integral sliding surface in finite time.
    • Stability of the closed-loop system under cyber-attack is guaranteed using linear matrix inequalities.
    • All signals in the closed-loop system are shown to be bounded, with asymptotic stochastic stability achieved under specified conditions.

    Conclusions:

    • The developed dynamic fuzzy ISMC is effective for controlling nonlinear stochastic systems susceptible to cyber-attacks.
    • The control strategy ensures finite-time convergence and robust stability against external disturbances and adversarial actions.
    • The inverted pendulum example validates the practical applicability and effectiveness of the proposed control scheme.