Rate of Prefix-free Codes in LQG Control Systems with Side Information

Autor:	Cuvelier, Travis C., Tanaka, Takashi
Rok vydání:	2021
Předmět:	Computer Science - Information Theory Electrical Engineering and Systems Science - Signal Processing Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control
Zdroj:	Proceedings of the 55th Annual Conference on Information Sciences and Systems (CISS) March 2021
Druh dokumentu:	Working Paper
Popis:	In this work, we study an LQG control system where one of two feedback channels is discrete and incurs a communication cost. We assume that a decoder (co-located with the controller) can make noiseless measurements of a subset of the state vector (referred to as side information) meanwhile a remote encoder (co-located with a sensor) can make arbitrary measurements of the entire state vector, but must convey its measurements to the decoder over a noiseless binary channel. Use of the channel incurs a communication cost, quantified as the time-averaged expected length of prefix-free binary codeword. We study the tradeoff between the communication cost and control performance. The formulation motivates a constrained directed information minimization problem, which can be solved via convex optimization. Using the optimization, we propose a quantizer design and a subsequent achievability result. Comment: Accepted for publication at CISS 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.09329 Zobrazit plný text záznamu View this record from Arxiv