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Active control design for acoustic radiation using mixed-norm optimization

Clark, Cox

    The Journal of the Acoustical Society of America
    |September 29, 2000
    PubMed
    Summary
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    This study designed a mixed H2/H(infinity) feedback control compensator for structural acoustics. The method reliably minimizes radiated sound power while ensuring control path stability for robust performance.

    Area of Science:

    • Structural acoustics
    • Control theory
    • Vibration analysis

    Background:

    • Structural acoustic systems are susceptible to unwanted noise radiation.
    • Designing effective control systems for these phenomena is challenging.
    • Existing methods may lack robustness or fail to balance performance metrics.

    Purpose of the Study:

    • To develop a mixed H2/H(infinity) feedback control compensator for structural acoustic systems.
    • To minimize the H2 norm of radiation filters, reducing sound power.
    • To constrain the H(infinity) norm of the control path, ensuring stability.

    Main Methods:

    • Application of linear matrix inequalities (LMIs).
    • Design of a mixed H2/H(infinity) control compensator.

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  • Optimization of trade-offs between sound power minimization and control path gain.

    • Main Results:

    • Successful design of a compensator using LMIs.
    • Minimization of the H2 norm for radiation filters achieved.
    • Constraining the H(infinity) norm to less than unity demonstrated.
    • A balance between sound power reduction and control path gain was established.

    Conclusions:

    • The LMI-based approach provides a reliable method for designing structural acoustic compensators.
    • The mixed H2/H(infinity) control strategy offers a robust solution for performance and stability.
    • This technique facilitates effective control of sound radiation in structural systems.