The price of distributed design in optimal control

Jean Charles Delvenne, Cédric Langbort

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

Abstract

We study control design strategies which, when presented with a plant made of interconnected subsystems, construct a sub-controller for each one of them using only a model of this particular subsystem. We prove that, for a class of linear time-invariant, discrete-time systems, any such distributed control strategy must have a worst-case performance at least twice the optimal. The best distributed design strategy is one that results in a deadbeat controller for every plant.

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.
Pages3640-3645
Number of pages6
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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  • Cite this

    Delvenne, J. C., & Langbort, C. (2006). The price of distributed design in optimal control. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 3640-3645). [4177749] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377316