自由空间中集群式有源噪声控制系统布放对稳定性的影响分析
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摘要
一般来说,采用集中式多通道有源噪声控制系统有利于提升降噪性能和扩展静区大小,但该系统复杂且实现成本很高。与之相比,分散式系统中用多个互相独立的单输入单输出控制系统来代替大规模的集中式系统,体现一种能有效地降低实现成本的系统实现策略。但其主要缺点为存在全局稳定性风险。而集群式系统通过用多个小规模的多通道集中式系统实现降噪控制,能在集中式系统的复杂度和分散式系统的稳定性风险之间取得折衷。对集群式系统在自由空间中的布放对稳定性的影响进行研究,通过将集群式的迭代方程变换为等价的线性时不变系统传递函数,研究次级源和误差传感器布放对系统零极点的影响,得到使集群式系统在自由空间中保持稳定的布放规律。这一布放规律仅与次级源和误差传感器在空间中的几何位置分布有关。
Generally, using fully coupled multichannel active noise control system is beneficial to noise reduction and quiet zone extension, but it is complex and costly. A practical method of decentralizing the control is more economic. In this method, many independent controllers with single input and single output operate simultaneously to replace a large centralized control system with multi-input and multi-output. However, the drawback of the decentralized control is the risk of global instability. The cluster active control system, a modified version of the decentralized system, consists of several independent multichannel sub-systems, which can improve the stability at a reasonable computation consuming. In this paper, the influence of the cluster control arrangement on the global stability of the control system is studied. By transforming the cluster's iterative equations into the equivalent linear transfer function of the system, the influence of the geometrical arrangement of the secondary sources and error sensors on the zero-pole map of the control system is studied.Theoretical analysis and simulations are carried out and the conditions for ensuring the stability of the clusters system are obtained.
Generally, using fully coupled multichannel active noise control system is beneficial to noise reduction and quiet zone extension, but it is complex and costly. A practical method of decentralizing the control is more economic. In this method, many independent controllers with single input and single output operate simultaneously to replace a large centralized control system with multi-input and multi-output. However, the drawback of the decentralized control is the risk of global instability. The cluster active control system, a modified version of the decentralized system, consists of several independent multichannel sub-systems, which can improve the stability at a reasonable computation consuming. In this paper, the influence of the cluster control arrangement on the global stability of the control system is studied. By transforming the cluster's iterative equations into the equivalent linear transfer function of the system, the influence of the geometrical arrangement of the secondary sources and error sensors on the zero-pole map of the control system is studied.Theoretical analysis and simulations are carried out and the conditions for ensuring the stability of the clusters system are obtained.
引文
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[2]QIU X,LI X,AI Y.A waveform synthesis algorithm for active control of transformer noise:implementation[J].Applied Acoustics,2002,63(5):467-479.
[3]SKOGESTAD S,POSTLETHWAITE I.Multivariable feedback control:analysis and design[M].New York Wiley,1996.
[4]ZHANG L,TAO J,QIU X.Performance analysis of decentralized multi-channel feedback systems for active noise control in free space[J].Applied Acoustics,2013,74(1):181-188.
[5]庞彦宾,陈克安.自由场分散式有源声控制系统稳定性分析[J].电声技术,2010(2):73-76.
[6]FRAMPTON K D,BAUMANN O N,GARDONIO P.Acomparison of decentralized,distributed,and centralized vibro-acoustic control[J].The Journal of the Acoustical Society of America,2010,128(5):2798-2806.
[7]ENGELS W P,BAUMANN O N,ELLIOTT S J,et al.Centralized and decentralized control of structural vibration and sound radiation[J].The Journal of the Acoustical Society of America,2006,119(3):1487-1495.
[8]玉昊昕,陈克安.次级通路估计误差偏移下的滤波-x最小均方算法收敛性能[J].噪声与振动控制,2015,35(6):152-158.
[9]ELLIOTT S J,STOTHERS I,NELSON P A.A multiple error LMS algorithm and its application to the active control of sound and vibration[J].IEEE Transactions on Acoustics,Speech and Signal Processing,1987,35(10):1423-1434.