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

Guisheng Zhai; Naoki Koyama; Fredrik Bruzelius; Masaharu Yoshida

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

Guisheng Zhai, Naoki Koyama, Fredrik Bruzelius, Masaharu Yoshida

Research output: Contribution to conference › Paper › peer-review

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 language	English
Pages	495-499
Number of pages	5
Publication status	Published - 2004 Dec 1
Externally published	Yes
Event	Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei, Taiwan, Province of China Duration: 2004 Sep 2 → 2004 Sep 4

Conference

Conference	Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC
Country	Taiwan, Province of China
City	Taipei
Period	04/9/2 → 04/9/4

ASJC Scopus subject areas

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

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

2004. 495-499 Paper presented at Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC, Taipei, Taiwan, Province of China.

Research output: Contribution to conference › Paper › peer-review

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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.",

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AU - Yoshida, Masaharu

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N2 - 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.

AB - 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.

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T2 - Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC

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

Abstract

Conference

ASJC Scopus subject areas

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