The framework for linear periodic time-delay systems based on semi-discretization: Stability analysis and control

Chenhui Shao, Jie Sheng

Research output: Contribution to journalArticlepeer-review

Abstract

Stability analysis and control for linear periodic time-delay systems are investigated in this paper. In this framework, a semi-discretization method is used to develop a mapping of the system response in a finite-dimensional state space. With the mapping, the stability region and stability boundary can be identified by comparing the maximum absolute value of its eigenvalues to 1. More importantly, an efficient stability criterion is presented for periodic neutral systems. In addition, minimization of the maximum absolute value of the mapping's eigenvalues leads to optimal control gains. The tracking control problem is also discussed. Two numerical examples are given to illustrate the effectiveness of the proposed method.

Original languageEnglish (US)
Pages (from-to)1350-1360
Number of pages11
JournalAsian Journal of Control
Volume16
Issue number5
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

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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