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    Area of Science:

    • Control Engineering
    • Networked Systems
    • Systems Theory

    Background:

    • Switched networked control systems (SNCSs) face challenges from packet dropouts and switching rule loss.
    • Existing research rarely addresses multipath packet dropouts across control input, output, and switching rules simultaneously.

    Purpose of the Study:

    • To develop an observer-based multiobjective control strategy for SNCSs.
    • To address the complexities of multipath packet dropouts and switching rule loss.

    Main Methods:

    • Utilized three independent Bernoulli distribution random sequences to model packet dropouts.
    • Designed novel hybrid observer and controller schemes (mode-dependent and mode-independent).
    • Employed multiple Lyapunov functionals (MLFs) and average dwell time (ADT) for stability analysis.

    Main Results:

    • Formulated the multiobjective control problem to minimize $H_{\infty}$ and $L_{2}-L_{\infty}$ disturbance attenuation levels.
    • Derived new results using linear matrix inequalities (LMIs) for observer parameters and controller gains.
    • Validated the proposed methods through two illustrative examples.

    Conclusions:

    • The proposed hybrid observer-based control strategies effectively handle multipath packet dropouts and switching rule loss in SNCSs.
    • The LMI-based approach provides a systematic way to design controllers for robust multiobjective performance.