Optimal local and remote controllers with unreliable uplink channels: An elementary proof

Autor:	Afshari, Mohammad, Mahajan, Aditya
Rok vydání:	2019
Předmět:	Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: 7 pages, Transactions on Automatic Control
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.01473 Zobrazit plný text záznamu View this record from Arxiv