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Model reference control for discrete-time antilinear systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The problem of model reference control is considered in this paper for discrete-time antilinear systems. A sufficient condition is given for the existence of an output tracking controller. It is shown that the tracking controller is a combination of a feedback stabilizing controller and a feedforward compensator. The compensation gain satisfies two matrix equations, one of which is the so-called con-Sylvester matrix equation. In addition, the feedback stabilizing gain can be obtained from a con-Sylvester matrix equation. Based on an explicit solution to the con-Sylvester matrix equation, a parametric design approach is proposed to solve the model reference control for discrete-time antilinear systems. An illustrative example is given to show the application of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages6153-6157
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
Externally publishedYes
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Con-Sylvester matrix equations
  • Feedback compensation
  • Model reference control

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