基于凸优化的多通道约束有源噪声控制滤波器热启动策略设计

IF 0.3 4区 工程技术 Q4 ACOUSTICS
Yongjie Zhuang, Zhuang Mo, Yangfan Liu
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引用次数: 0

摘要

在主动噪声控制系统的实际应用中,在控制器设计过程中需要满足各种约束条件。最优控制滤波器系数可以通过求解约束优化问题得到,这通常需要大量的计算量。最近,提出了一种圆锥形式的凸公式用于ANC滤波器的设计。所提出的公式被证明可以使计算时间减少几个数量级。利用最优滤波系数的先验信息进一步提高其效率是一个很有意义的问题。实现这一目标的一种潜在方法是引入热启动技术,以便可以参考类似系统或环境的滤波器解来选择优化算法的起点。然而,二次方程的求解必须采用内点法,这对于热启动技术的应用来说是一个挑战。本文提出了对原有ANC滤波器设计公式约束的松弛方法,使热启动技术得以应用。然后,利用已有研究提出的热启动技术解决了一系列的扰动问题,并对热启动技术的性能进行了研究。结果表明,采用上述改进后的热启动策略可以显著减少求解ANC滤波器设计问题的二次公式所需的迭代次数,而无需进行大量的调整,并且该方法在各种环境设置下都是有效的和鲁棒的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Warmstarting strategies for convex optimization based multi-channel constrained active noise control filter design
In real-world applications of active noise control (ANC) systems, various constraints are supposed to be satisfied in the controller design process. The optimal control filter coefficients can be obtained by solving a constrained optimization problem, which usually requires a significant computational effort. Recently, a convex formulation in conic form was proposed for ANC filter design. The proposed formulation was shown to result in a computational time reduction by several orders of magnitude. It is of great interest to further improve its efficiency by using a priori information of the optimal filter coefficients. One potential way of achieving this goal is to introduce a warmstart technique so that the filter solution of a similar system or environment can be referred to for selecting the starting point of the optimization algorithm. However, the conic formulation should be solved by the interior-point method, which, in general, is challenging for applying warmstart techniques. In the current work, relaxation methods are proposed to the constraints of original ANC filter design formulation so that the warmstart techniques can be applied. Then, a warmstarting technique proposed in previous study is used to solve a series of perturbed problems, and the performance of the warmstarting technique is investigated. Results show that with the proposed modifications applied, the warmstarting strategy can significantly reduce the number of iterations needed for solving the conic formulation of the ANC filter design problem without much tuning efforts, and the method is effective and robust in various environmental setups.
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来源期刊
Noise Control Engineering Journal
Noise Control Engineering Journal 工程技术-工程:综合
CiteScore
0.90
自引率
25.00%
发文量
37
审稿时长
3 months
期刊介绍: NCEJ is the pre-eminent academic journal of noise control. It is the International Journal of the Institute of Noise Control Engineering of the USA. It is also produced with the participation and assistance of the Korean Society of Noise and Vibration Engineering (KSNVE). NCEJ reaches noise control professionals around the world, covering over 50 national noise control societies and institutes. INCE encourages you to submit your next paper to NCEJ. Choosing NCEJ: Provides the opportunity to reach a global audience of NCE professionals, academics, and students; Enhances the prestige of your work; Validates your work by formal peer review.
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