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Optimal nominal dual control for discrete-time linear-quadratic Gaussian problems with unknown parameters

  • Duan Li*
  • , Fucai Qian
  • , Peilin Fu
  • *Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

The dual control for a class of discrete-time linear-quadratic Gaussian problems with unknown parameters is studied in this paper. To achieve an optimality in dual control, a control law must possess a property of active learning. The best possible (partial) closed-loop feedback control law is derived in this paper by exploring the future nominal posterior probabilities, thus taking into account the effect of future learning when constructing an optimal nominal control law.
Original languageEnglish
Pages (from-to)119-127
JournalAutomatica
Volume44
Issue number1
Online published17 Aug 2007
DOIs
Publication statusPublished - Jan 2008
Externally publishedYes

Research Keywords

  • Dual control
  • Dynamic programming
  • LQG control
  • Stochastic control

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