Adaptive real-time control of a Christmas tree using a novel signal processing approach

The LMS algorithm forms the core of a number of adaptive control schemes. It has on one hand provided certain degree of robustness to these algorithms but on the other hand its convergence rate is notoriously slow. We propose a method to initialize the LMS algorithm which dramatically shortens its adaptation period. We also prove that under certain condition this initialization can be computed without explicit knowledge of either the reference or noise spectrum. Although the work is illustrated using the filtered-X scheme, this idea can also be applied to other similar schemes. Two successful experiments starting from black-box identification to real-time control have verified the effectiveness of this idea.