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

Guisheng Zhai, Naoki Koyama, Fredrik Bruzelius, Masaharu Yoshida

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

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
Title of host publicationIEEE International Symposium on Intelligent Control - Proceedings
Pages495-499
Number of pages5
Publication statusPublished - 2004
Externally publishedYes
EventProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei
Duration: 2004 Sep 22004 Sep 4

Other

OtherProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC
CityTaipei
Period04/9/204/9/4

Fingerprint

Linear matrix inequalities
Stabilization
Feedback
Controllers

ASJC Scopus subject areas

  • Hardware and Architecture
  • Control and Systems Engineering

Cite this

Zhai, G., Koyama, N., Bruzelius, F., & Yoshida, M. (2004). Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. In IEEE International Symposium on Intelligent Control - Proceedings (pp. 495-499)

Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. / Zhai, Guisheng; Koyama, Naoki; Bruzelius, Fredrik; Yoshida, Masaharu.

IEEE International Symposium on Intelligent Control - Proceedings. 2004. p. 495-499.

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

Zhai, G, Koyama, N, Bruzelius, F & Yoshida, M 2004, Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. in IEEE International Symposium on Intelligent Control - Proceedings. pp. 495-499, Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC, Taipei, 04/9/2.
Zhai G, Koyama N, Bruzelius F, Yoshida M. Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. In IEEE International Symposium on Intelligent Control - Proceedings. 2004. p. 495-499
Zhai, Guisheng ; Koyama, Naoki ; Bruzelius, Fredrik ; Yoshida, Masaharu. / Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. IEEE International Symposium on Intelligent Control - Proceedings. 2004. pp. 495-499
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