Optimal local and remote controllers with unreliable uplink channels: An elementary proof
Systems and Control
2019-11-06 v1 Systems and Control
Abstract
Recently, a model of a decentralized control system with local and remote controllers connected over unreliable channels was presented in [1]. The model has a non-classical information structure that is not partially nested. Nonetheless, it is shown in [1] that the optimal control strategies are linear functions of the state estimate (which is a non-linear function of the observations). Their proof is based on a fairly sophisticated dynamic programming argument. In this note, we present an alternative and elementary proof of the result which uses common information based conditional independence and completion of squares.
Cite
@article{arxiv.1911.01473,
title = {Optimal local and remote controllers with unreliable uplink channels: An elementary proof},
author = {Mohammad Afshari and Aditya Mahajan},
journal= {arXiv preprint arXiv:1911.01473},
year = {2019}
}
Comments
7 pages, Transactions on Automatic Control