Control of multi-dimensional linear systems over noisy forward and reverse channels

Serdar Yüksel, Tamer Başar

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

Abstract

We consider the problem of stabilizability of remote continous-time multi-dimensional LTI systems where both the forward (from the sensor to the controller) and the reverse (from the controller to the plant) channels are noisy and memoryless. By adopting an information theoretic approach, and using the theory of Markov processes, we obtain necessary and sufficient conditions for stabilizability, with the conditions being on channels, coders, and controllers. We show that the entire state and control spaces have to be encoded to obtain an invariant probability distribution, which leads to the necessity of using variable length codes in the case of discrete memoryless channels. We introduce a stabilizing variable length coding scheme through variable rate sampling of the continuoustime system. Control over continuous memoryless channels is also considered.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages477-483
Number of pages7
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

ASJC Scopus subject areas

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

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