Robust normalization and stabilization of uncertain descriptor systems with norm-bounded perturbations

Chong Lin, Qing Guo Wang, Tong Heng Lee

Research output: Contribution to journalArticlepeer-review

101 Citations (Scopus)

Abstract

This note is concerned with the problem of the so-called quadratic normalization and stabilization via both proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF) for uncertain descriptor systems with norm-bounded perturbations. Necessary and sufficient conditions are presented in terms of linear matrix inequalities (LMIs) or quadratic matrix inequalities (QMIs), by using a simple idea of changing the problem to the corresponding stabilization problem of an augmented uncertain system.

Original languageEnglish
Pages (from-to)515-520
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume50
Issue number4
DOIs
Publication statusPublished - Apr 2005
Externally publishedYes

Keywords

  • Descriptor systems
  • Norm-bounded perturbation
  • Normalization
  • Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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