Accelerometer-based online reconstruction of vibrations from delayed measurements

Online position reconstruction from acceleration measurements is an important control engineering task in many applications such as feedforward vibration compensation in telescopes. A sophisticated position reconstruction algorithm based on adaptive resonators solving this task has been developed and presented by the authors. An additional challenge arises when the acceleration signal is subjected to a time delay in the measurement chain. Any effective feedforward compensation setup can only function well if a delay-free estimate of the disturbance signal is provided. The consequences of a measurement time delay for vibrational feedforward compensation are discussed and three delay-compensating extensions of the developed position reconstructor are presented.