Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing
Abstract
The paper proposes a new method to determine a binary control signal for an analog linear system such that the state, or some output, of the system follows a given target trajectory. The method can also be used for digital-to-analog conversion. The heart of the proposed method is a new binary-enforcing NUV prior (normal with unknown variance). The resulting computations, for each planning period, amount to iterating forward-backward Gaussian message passing recursions (similar to Kalman smoothing), with a complexity (per iteration) that is linear in the planning horizon. In consequence, the proposed method is not limited to a short planning horizon.
Cite
@article{arxiv.2102.00989,
title = {Binary Control and Digital-to-Analog Conversion Using Composite NUV Priors and Iterative Gaussian Message Passing},
author = {Raphael Keusch and Hampus Malmberg and Hans-Andrea Loeliger},
journal= {arXiv preprint arXiv:2102.00989},
year = {2021}
}
Comments
Accepted for 2021 IEEE International Conference on Acoustics, Speech and Signal Processing, 6-11 June 2021