On Communication Scheduling and Remote Estimation in the Presence of an Adversary as a Nonzero-sum Game

Xiaobin Gac, Emrah Akyol, Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider a nonzero-sum dynamic game that arises in a remote sensing system with a sensor, an encoder, a decoder, and adversarial intervention. At each time step, the sensor makes a measurement on the state of a stochastic process, and then it decides whether to transmit the measurement or not. If the sensor decides to transmit the measurement, it sends the measurement to the encoder, which then transmits an encoded message to the decoder over an additive noise channel. The decoder generates a real-time estimate on the state of the stochastic process. In this scenario, the cost associated with the remote sensing system consists of a charge for the transmissions made by the sensor, a charge for the encoding power consumed by the encoder, and a charge for the estimation error caused by the decoder. The components of the remote sensing system have the common objective of minimizing this cost. On the other hand, the additive channel noise is generated by an adversary, which is charged the power of the noise and is rewarded the error of the estimated state. Under some technical assumptions, we obtain a Nash equilibrium solution to this nonzero-sum dynamic game.

Original languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2710-2715
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - Jan 18 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period12/17/1812/19/18

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Gac, X., Akyol, E., & Basar, T. (2019). On Communication Scheduling and Remote Estimation in the Presence of an Adversary as a Nonzero-sum Game. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 2710-2715). [8619418] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619418