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<p>In robust feedback active noise control, appropriate secondary path uncertainty modeling is a necessity to achieve robust and stable control filter designs. In this paper, we present a new method for modeling the uncertainty of the secondary path that avoids the use of a static disk-shaped uncertainty model and instead uses convex hulls to dynamically compute the uncertainty measure during filter optimization. We describe the computation of the frequency-dependent convex uncertainty sets and discuss their use during filter optimization. In a direct comparison of the disk-shaped and the proposed uncertainty model, the improvement in terms of noise attenuation performance is demonstrated. Furthermore, it turns out that the presented method produces filter designs with good stability characteristics that far exceed the minimum robustness requirements.</p>

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Control filter design with convex-set-based uncertainty model for robust feedback active noise control

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月10日

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  • Willem Alexander Klatt,
  • Rainer Martin

摘要

In robust feedback active noise control, appropriate secondary path uncertainty modeling is a necessity to achieve robust and stable control filter designs. In this paper, we present a new method for modeling the uncertainty of the secondary path that avoids the use of a static disk-shaped uncertainty model and instead uses convex hulls to dynamically compute the uncertainty measure during filter optimization. We describe the computation of the frequency-dependent convex uncertainty sets and discuss their use during filter optimization. In a direct comparison of the disk-shaped and the proposed uncertainty model, the improvement in terms of noise attenuation performance is demonstrated. Furthermore, it turns out that the presented method produces filter designs with good stability characteristics that far exceed the minimum robustness requirements.