Adaptive Cancellation of Time-Varying Disturbances

该项目的目的是开发控制算法，以消除频率内容随时间变化显著的周期性干扰。典型的应用包括主动噪声和振动控制，尽管所考虑的问题是通用的，算法也适用于许多其他情况。本文考虑了两类算法。他们之前已经研究过限制病例，并显示出有希望的结果。这些算法特别有价值，因为它们很简单，而且可以使用工具来设计它们以实现特定的性能目标。在该项目中，算法将得到发展，使其适用于多变量系统和具有多个谐波分量的干扰的最一般问题。一个重要的中间目标将是分析自适应算法的鲁棒性，使用鲜为人知但强大的线性时不变系统等价的结果。这些结果将使算法的鲁棒性边际精确量化，并可能导致鲁棒性设计的新策略。另一个目标是开发新的算法，用于使用多个传感器估计和跟踪周期信号的参数。这些算法将在噪声主动控制或振动主动控制实验中得到验证。

The object of this project is to develop control algorithms for the cancellation of periodic disturbances whose frequency content varies significantly over time. Typical applications include active noise and vibration control, although the problems under consideration are generic and the algorithms are applicable in many other contexts. Two classes of algorithms are considered. They have been studied before for restricted cases and have shown promising results. The algorithms are particularly valuable because of their simplicity and because of the tools available to design them for specific performance goals. In the project, the algorithms will be developed so that they will become applicable to the most general problems with multivariable system and with disturbances having multiple harmonic components. An important intermediate goal will be the analysis of the robustness properties of adaptive algorithms using little known but powerful results of linear time-invariant system equivalence. These results will enable a precise quantification of the robustness margins of the algorithms, and may lead to new strategies for robust design. Another goal is the development of new algorithms for the estimation and tracking of the parameters of periodic signals using multiple sensors. The algorithms will be tested in active noise control or active vibration control experiments.