Optimal Control over Networks with Long Random Delays

Bo Lincoln, Bo Bernhardsson

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

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Abstract

This paper studies the effects of stochastic time delays on automatic control systems which uses communication networks. We assume a linear process to be controlled and known delay probability distributions.The contribution of this paper is to extend the theory in(Nilsson 1998) to delays that may be longer than one sample period.Using a quadratic cost we find the optimal full-state-information controller. We also show that the standard Kalman filter is an optimal observer, and that the separation principle holds.
Original languageEnglish
Title of host publicationProceedings CD of the Fourteenth International Symposium on Mathematical Theory of Networks and Systems
PublisherLaboratoire de Théorie des Systèmes (LTS), University of Perpignan
Publication statusPublished - 2000

Subject classification (UKÄ)

  • Control Engineering

Free keywords

  • separation principle
  • optimal control
  • Stochastic control
  • time delays

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