Regularization of linear discrete-time periodic descriptor systems by derivative and proportional state feedback

Yuen Cheng Kuo*, Wen-Wei Lin, Shu Fang Xu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

In this paper, we consider the regularization problem for the linear time-varying discrete-time periodic descriptor systems by derivative and proportional state feedback controls. Sufficient conditions are given under which derivative and proportional state feedback controls can be constructed so that the periodic closed-loop systems are regular and of index at most one. The construction procedures used to establish the theory are based on orthogonal and elementary matrix transformations and can, therefore, be developed to a numerically efficient algorithm. The problem of finite pole assignment of periodic descriptor systems is also studied.

Original languageEnglish
Pages (from-to)1046-1073
Number of pages28
JournalSIAM Journal on Matrix Analysis and Applications
Volume25
Issue number4
DOIs
StatePublished - 22 Nov 2004

Keywords

  • Derivative and proportional feedback
  • Linear periodic descriptor systems
  • Regularization

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