Rate-limited control of systems with uncertain gain

Victoria Kostina, Yuval Peres, Miklos Z. Racz, Gireeja Ranade

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

5 Scopus citations

Abstract

Controlling and stabilizing systems involves countering the impact of explicit communication constraints in addition to inherent system model parameter uncertainty and random noise. Here we use an information-theoretic approach to jointly tackle all three issues and understand their interactions. Our main result bounds the minimum communication rate required for the mean-square stability of a system with uncertain system gain. Moreover, our techniques extend to provide a finer characterization of the required rate when specific finite bounds on the second moment of the state are desired.

Original languageEnglish (US)
Title of host publication54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1189-1196
Number of pages8
ISBN (Electronic)9781509045495
DOIs
StatePublished - Feb 10 2017
Externally publishedYes
Event54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016 - Monticello, United States
Duration: Sep 27 2016Sep 30 2016

Publication series

Name54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016

Other

Other54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016
CountryUnited States
CityMonticello
Period9/27/169/30/16

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Hardware and Architecture
  • Control and Optimization

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    Kostina, V., Peres, Y., Racz, M. Z., & Ranade, G. (2017). Rate-limited control of systems with uncertain gain. In 54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016 (pp. 1189-1196). [7852370] (54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ALLERTON.2016.7852370