Strict LMI conditions for stability and stabilization of discrete-time descriptor systems

Guisheng Zhai, Naoki Koyama, Fredrik Bruzelius, Masaharu Yoshida

Research output: Contribution to conferencePaper

7 Citations (Scopus)

Abstract

For linear discrete-time descriptor systems, we consider stability and stabilization conditions using matrix inequality approach. We present a new strict linear matrix inequality (LMI) condition which is necessary and sufficient for stability of unforced descriptor systems. Then, we use the condition to consider stabilization problem by descriptor variable feedback and static output feedback. By introducing a new matrix variable with certain structure, we establish sufficient conditions in form of strict LMIs for stabilizing controller design.

Original languageEnglish
Pages495-499
Number of pages5
Publication statusPublished - 2004 Dec 1
EventProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei, Taiwan, Province of China
Duration: 2004 Sep 22004 Sep 4

Conference

ConferenceProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC
CountryTaiwan, Province of China
CityTaipei
Period04/9/204/9/4

ASJC Scopus subject areas

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

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    Zhai, G., Koyama, N., Bruzelius, F., & Yoshida, M. (2004). Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. 495-499. Paper presented at Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC, Taipei, Taiwan, Province of China.