Control over lossy networks: A dynamic game approach

Jun Moon, M Tamer Basar

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

Abstract

This paper considers a minimax control (H control) problem for linear time-invariant (LTI) systems where the communication loop is subject to a TCP-like packet drop network. The problem is formulated within the zero-sum dynamic game framework. The packet drop network is governed by two independent Bernoulli processes that model control and measurement packet losses. Under this constraint, we obtain a dynamic output feedback minimax controller. For the infinite-horizon case, we provide necessary and sufficient conditions in terms of the packet loss rates and the H disturbance attenuation parameter under which the minimax controller exists and is able to stabilize the closed-loop system in the mean-square sense. In particular, we show that unlike the corresponding LQG case, these conditions are coupled and therefore cannot be determined independently.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5367-5372
Number of pages6
ISBN (Print)9781479932726
DOIs
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR
Period6/4/146/6/14

Keywords

  • Control of networks
  • Networked control systems
  • Optimal control

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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