Stability analysis and control of linear periodic time-delay systems with state-space models based on semi-discretization

Chenhui Shao, Jie Sheng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Stability analysis and control for linear periodic time-delay systems described by state space models are investigated in this paper. Semi-discretization method is used to develop a mapping of the system response in a finite-dimensional state space. The stability region and stability boundary can be found by comparing the maximum absolute value of the mapping's eigenvalues with 1. More importantly, an efficient stability criterion is presented for linear periodic neutral systems. Besides, minimization of the maximum absolute value of the mapping's eigenvalues leads to optimal control gains. Two numerical examples are given to illustrate the proposed method's effectiveness.

Original languageEnglish (US)
Title of host publicationProceedings of the 2012 UKACC International Conference on Control, CONTROL 2012
Pages784-788
Number of pages5
DOIs
StatePublished - Nov 26 2012
Externally publishedYes
Event2012 UKACC International Conference on Control, CONTROL 2012 - Cardiff, United Kingdom
Duration: Sep 3 2012Sep 5 2012

Publication series

NameProceedings of the 2012 UKACC International Conference on Control, CONTROL 2012

Other

Other2012 UKACC International Conference on Control, CONTROL 2012
Country/TerritoryUnited Kingdom
CityCardiff
Period9/3/129/5/12

Keywords

  • feedback control
  • periodic neutral systems
  • periodic time-delay systems
  • semi-discretization
  • stability analysis

ASJC Scopus subject areas

  • Control and Systems Engineering

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