General controller for a class of singular system simultaneous stabilization

Jing Ma*, Zhiwei Gao

*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Using stable factorization theory and state-space realization, this paper studies the simultaneous stabilization problem for a class of singular system. Stable right inverse and stable right null space are introduced into a class of linear systems via stable factorization theory at first. Then, a new design approach of all simultaneous stabilizing general controllers for a class of singular system has been proposed in term of stable inverses and stable null spaces and parameterized. A numerical example is given to illustrate the design procedure.

Original languageEnglish
Title of host publicationProceedings - 2009 9th International Conference on Hybrid Intelligent Systems, HIS 2009
Pages392-396
Number of pages5
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2009 9th International Conference on Hybrid Intelligent Systems, HIS 2009 - Shenyang, China
Duration: 12 Aug 200914 Aug 2009

Publication series

NameProceedings - 2009 9th International Conference on Hybrid Intelligent Systems, HIS 2009
Volume3

Conference

Conference2009 9th International Conference on Hybrid Intelligent Systems, HIS 2009
Country/TerritoryChina
CityShenyang
Period12/08/0914/08/09

Keywords

  • General controllers
  • Simultaneous stabilization
  • Singular system
  • Stable right inverse
  • Stable right null space

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