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    This study addresses networked control system (NCS) stability challenges caused by communication issues. A novel method enhances controller design for systems with packet dropouts and variable sampling periods, improving performance and stability.

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    Area of Science:

    • Control Engineering
    • Networked Systems
    • Signal Processing

    Background:

    • Networked control systems (NCSs) face performance degradation and stability issues due to communication imperfections like packet dropouts and variable sampling periods.
    • Stochastic communication protocols (SCPs) are used to manage network bandwidth by limiting sensor transmissions.

    Purpose of the Study:

    • To develop an output feedback synthesis method for NCSs under stochastic communication protocols (SCPs).
    • To address challenges including two-channel successive packet dropouts (SPDs) and multiple probability sampling periods (MPSPs).

    Main Methods:

    • Derived a discrete-time augmented model for the closed-loop NCS with a dynamic output feedback controller.
    • Incorporated an equivalent sampling period representation for analysis between non-packet dropout instants.
    • Established a general analysis model considering SCP effects and formulated controller design conditions using linear matrix inequalities (LMIs) via a two-step approach.

    Main Results:

    • Developed conditions for dynamic output feedback controller design using LMIs.
    • The controller design dimension is independent of the upper bound of SPDs and the number of sampling periods, achieved through matrix decomposition.
    • Demonstrated the effectiveness of the proposed method with an illustrative example.

    Conclusions:

    • The proposed method provides a robust approach for designing output feedback controllers in NCSs with complex communication constraints.
    • The technique offers improved generality and scalability compared to existing methods for handling packet dropouts and multiple sampling rates.