Decentralized LQG Control with d-Step Delayed Information Sharing Pattern

Juanjuan Xu, Huanshui Zhang, Tamer Basar

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study a class of discrete-time decentralized linear-quadratic-Gaussian (LQG) control problems with two controllers and d-step delayed information sharing pattern. An explicit form of the pair of optimal linear controllers is obtained in terms of backward Riccati equations and forward equations of estimation error covariance. To overcome the difficulty that arises due to the coupling of the backward-forward equations, we propose a forward iteration approach to derive a steady-state solution. This accordingly leads to an asymptotically optimal linear controller where the feedback gains are designed by using the convergent steady-state solutions.

Original languageEnglish (US)
JournalIEEE Transactions on Automatic Control
DOIs
StateAccepted/In press - 2022

Keywords

  • Covariance matrices
  • d-step delayed information sharing pattern
  • Decentralized LQG
  • Difference equations
  • Estimation error
  • forward-backward stochastic difference equations
  • Information sharing
  • Nash equilibrium
  • Riccati equations
  • Steady-state

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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