Design of Variable Auxiliary Noise Influence Ratio for Adaptive Active Vibration Control
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Design of Variable Auxiliary Noise Influence Ratio for Adaptive Active Vibration Control Yuxue Pu1,2
· Lei Chen1 · Cheng Yao1 · Fan Yang3
Received: 8 September 2019 / Revised: 12 August 2020 / Accepted: 14 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Active vibration control (AVC) is an effective way to reduce low-frequency vibration. Accurate secondary path modeling (SPM) is crucial for the implementation of AVC system based on filtered-x least mean square (FXLMS) algorithm. The FXLMS algorithm with online SPM comprises two filters, i.e., an active control filter and an online SPM filter. Mutual interference between them is the key factor that restricts the performance of AVC system with online SPM. This paper designs a novel approach based on variable auxiliary noise influence (ANI) ratio to measure the contrastive relationship of convergence status between the active control filter and the online SPM filter. Based on the proposed variable ANI ratio, the proportion of auxiliary noise component in residual vibration is scheduled. Furthermore, a variable step-size strategy is derived to realize fast and stable online SPM. Comparative simulations with the competing methods are carried out in the case of secondary path sudden change and broadband vibration control. The simulation results indicate that the proposed method gives better performance than the other competing methods.
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Yuxue Pu [email protected] Lei Chen [email protected] Cheng Yao [email protected] Fan Yang [email protected]
1
School of Civil Engineering, Hefei University of Technology, Tunxi Street No. 193, Hefei City 230009, Anhui Province, China
2
Anhui Key Laboratory of Civil Engineering Structures and Materials, Hefei University of Technology, Tunxi Street No. 193, Hefei City 230009, Anhui Province, China
3
School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu Province, China
Circuits, Systems, and Signal Processing
Keywords Active vibration control · Online secondary path modeling · Variable step size · Auxiliary noise power scheduling · FXLMS
1 Introduction The traditional passive vibration control has many difficulties in controlling lowfrequency vibration and gradually been replaced by active vibration control (AVC) [4, 11, 23]. AVC is based on superposition principle. It generates an anti-vibration (called secondary vibration) with equal magnitude but opposite phase to the primary vibration. Combining the two vibration waves, a silence zone is created at the controlled point [13]. An active control algorithm with good stability and fast convergence speed is very crucial for the effective AVC system [10, 20]. The least mean square (LMS) algorithm is a traditional AVC adaptive algorithm. There is an electro-path between the AVC controller and the controlled point, named as secondary path. Due to the existence of secondary path, direct application of the LMS algorithm does not show suitable convergence behavior in
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