Robust control of LTI systems over unreliable communication channels with unreliable acknowledgments

Jun Moon, Tamer Basar

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

Abstract

We consider the robust (H) control problem for linear time-invariant systems over unreliable communication channels that are subject to packet losses from sensors to the controller and from the controller to the actuators. Moreover, the acknowledgments of control packet transmissions are also sent over reverse unreliable communication channels, which is known as the quasi-TCP model. The robust control problem is formulated within a stochastic zero-sum dynamic game framework, from which we obtain an H controller that minimizes the worst-case cost function in the presence of an adversary in the dynamical system. We characterize a set of existence conditions of the H controller in terms of the disturbance attenuation parameter γ and packet loss rates. For the least disturbance attenuation scenario (as γ → 8), we show that the H control system converges to the corresponding LQG system. We also show that the H controller for the TCP-and UDP-cases can be arrived at as appropriate limits of the solution for the quasi-TCP problem. Numerical examples are presented to illustrate the theoretical results.

Original languageEnglish (US)
Title of host publicationProceedings of the 2016 IEEE Region 10 Conference, TENCON 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3390-3393
Number of pages4
ISBN (Electronic)9781509025961
DOIs
StatePublished - Feb 8 2017
Event2016 IEEE Region 10 Conference, TENCON 2016 - Singapore, Singapore
Duration: Nov 22 2016Nov 25 2016

Publication series

NameIEEE Region 10 Annual International Conference, Proceedings/TENCON
ISSN (Print)2159-3442
ISSN (Electronic)2159-3450

Other

Other2016 IEEE Region 10 Conference, TENCON 2016
CountrySingapore
CitySingapore
Period11/22/1611/25/16

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • Cite this

    Moon, J., & Basar, T. (2017). Robust control of LTI systems over unreliable communication channels with unreliable acknowledgments. In Proceedings of the 2016 IEEE Region 10 Conference, TENCON 2016 (pp. 3390-3393). [7848682] (IEEE Region 10 Annual International Conference, Proceedings/TENCON). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/TENCON.2016.7848682