Data-driven optimal preview output tracking of linear discrete-time systems

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Abstract

This paper is focused on an approach of designing an optimal preview output tracking controller for discrete-time systems with measurable data. It is assumed that the reference trajectory is previewable, i.e., some finite future as well as present and past values of the reference signal are known in advance. An augmented state-space system including the prior information in a preview horizon is firstly constructed. A linear quadratic regulator (LQR) representation is then developed by taking some manipulation on the original output tracking problem. Next, a Q-function based value Iteration (VI) algorithm is presented to obtain the optimal output tracking control gain using online measurable data. It's shown that the presented approach does not require a priori information of system dynamics and an initially stabilizing control is also no longer needed. Finally, a numerical simulation is carried, which shows the merits of the proposed scheme.

Original languageEnglish
Title of host publicationProceedings of the 38th Chinese Control Conference, CCC 2019
EditorsMinyue Fu, Jian Sun
PublisherIEEE Computer Society
Pages1973-1978
Number of pages6
ISBN (Electronic)9789881563972
DOIs
StatePublished - Jul 2019
Event38th Chinese Control Conference, CCC 2019 - Guangzhou, China
Duration: 27 Jul 201930 Jul 2019

Publication series

NameChinese Control Conference, CCC
Volume2019-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference38th Chinese Control Conference, CCC 2019
Country/TerritoryChina
CityGuangzhou
Period27/07/1930/07/19

Keywords

  • ARE
  • Output tracking control
  • Preview control
  • Reinforcement learning

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