Nanometer Scanning with Micrometer Sensing: Beating Quantization Constraints in Lissajous Trajectory Tracking
<|reference_start|>Nanometer Scanning with Micrometer Sensing: Beating Quantization Constraints in Lissajous Trajectory Tracking: This paper addresses the task of tracking Lissajous trajectories in the presence of quantized positioning sensors. To do so, theoretical results on tracking of continuous time periodic signals in the presence of output quantization are provided. With these results in hand, the application to Lissajous tracking is explored. The method proposed relies on the internal model principle and dispenses perfect knowledge of the system equations. Numerical results show that an arbitrary small scanning resolution is achievable despite large sensor quantization intervals.<|reference_end|>
@article{lohse2024nanometer,
    title={Nanometer Scanning with Micrometer Sensing: Beating Quantization
  Constraints in Lissajous Trajectory Tracking},
    author={Matheus Lohse, Rafael S. Castro, Aurelio T. Salton and Minyue Fu},
    journal={arXiv preprint arXiv:2404.04973},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.04973},
    primaryClass={eess.SY cs.SY}
}