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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Asynchronous Control for Interval Type-2 Fuzzy Nonhomogeneous Markov Jump Systems Against Successive DoS Attacks.

Min Xue, James Lam, Huaicheng Yan

    IEEE Transactions on Cybernetics
    |October 25, 2024
    PubMed
    Summary
    This summary is machine-generated.

    This study addresses asynchronous control for Interval Type-2 fuzzy nonhomogeneous Markov jump systems facing denial-of-service attacks. A novel fuzzy asynchronous controller ensures system stability despite successive attacks and transmission delays.

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    Area of Science:

    • Control Systems Engineering
    • Fuzzy Logic Systems
    • Cybersecurity

    Background:

    • Nonhomogeneous Markov jump systems are susceptible to denial-of-service (DoS) attacks.
    • Asynchronous control is crucial for maintaining system performance under intermittent communication.

    Purpose of the Study:

    • To develop an asynchronous control strategy for Interval Type-2 fuzzy nonhomogeneous Markov jump systems under successive DoS attacks.
    • To address imperfect premise matching and transmission delays in the control design.

    Main Methods:

    • Construction of a fuzzy asynchronous controller using a hidden Markov model.
    • Development of a delay closed-loop system incorporating stochastic transmission delays.
    • Derivation of stability criteria using linear matrix inequalities and Lyapunov functional approach.

    Main Results:

    • Stability criteria for the closed-loop system were successfully derived.
    • Conditions for the existence of the fuzzy controller were established.
    • The proposed control scheme demonstrated feasibility and effectiveness through simulations.

    Conclusions:

    • The developed fuzzy asynchronous control strategy effectively enhances the resilience of Interval Type-2 fuzzy nonhomogeneous Markov jump systems against DoS attacks.
    • The method provides a robust framework for designing controllers under challenging communication constraints and cyber threats.