Plant matrix consideration in active control, adaptive sound field reproduction and time-reversal acoustics

声学和连续域振动中的大量问题涉及分布在连续体中的一组源(或致动器)和一组接收器(或传感器)。这是在主动噪声和振动控制、自适应声场再现、时间反转镜和某种程度上的反向振动声学问题中的情况，所有这些领域我最近都有一些兴趣。虽然传统上是分开研究的，但所有这些问题基本上都依赖于对象矩阵的一些性质，即每个执行器和每个传感器之间通过传播介质的线性传递函数的矩阵。这项建议的目的是在开发和可能优化植物矩阵特性的特定角度下，促进多通道主动控制、多通道声场再现和振声时间反转技术的进步。1-在主动噪声和振动控制中，我们对分散式结构特别感兴趣，即一个执行器和一个传感器之间的独立控制回路。这导致忽略了对象矩阵的非对角线系数，并导致了更简单和稳健的实际实现。2-声场复制的目标-使用一组复制源在任意环境中复制扩展的波场-在音乐或音频复制中得到应用。在本主题中，我们希望使用自适应控制技术在现实和可能变化的环境中改进声场再现技术。三次反转声学是一项引人入胜且发展迅速的技术，它使用一面“镜子”--一组相互转换的换能器--来观察、存储和重新发射(在时间反转后)任意波场，以创建其时间反转图像。在这个主题中，我们想要利用时间反转镜的聚焦特性来精确定位扩展的复杂结构上的振动源，或者扩展的复杂辐射体上的声源。

A large number of problems in acoustics and vibration of continuous domains involve a set of sources (or actuators) and a set of receivers (or sensors) distributed in the continuum. This is the case in active noise and vibration control, in adaptive sound field reproduction, in time-reversal mirrors and to some extent in inverse vibroacoustic problems, all areas in which I had some interest recently. Although traditionally investigated separately, all of these problems fundamentally rely on a few properties of the plant matrix, the matrix of linear transfer functions between each actuator and each sensor through the propagation medium. It is the purpose of this proposal to contribute to the advancement of multi-channel active control, multi-channel sound field reproduction and vibroacoustic time-reversal techniques, under the specific angle of exploiting and possibly optimizing the properties of the plant matrix. 1- In active noise and vibration control, we are especially interested in decentralized architectures, i.e. independent control loops between one actuator and one sensor. This leads to neglecting off-diagonal coefficients of the plant matrix and results in a much simpler and robust practical implementation. 2- The objective of sound field reproduction - to reproduce an extended wave field in an arbitrary environment using a set of reproduction sources- finds applications in music or audio reproduction. In this topic we want to improve sound field reproduction techniques in realistic and possibly changing environments using adaptive control techniques. 3- Time reversal acoustics is a fascinating and rapidly growing technique that uses a "mirror" - a set of reciprocal transducers - to observe, store and re-emit (after time inversion) an arbitrary wave field to create its time-inverted image. In this topic, we want to exploit the focusing properties of time reversal mirrors to pinpoint the vibration sources on an extended, complex structure, or the acoustic sources on an extended, complex radiator.