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

Author

Zhai, Guisheng ; Koyama, Naoki ; Bruzelius, Fredrik ; Yoshida, Masaham

Author_Institution

Dept. of Mech. Eng., Osaka Prefecture Univ., Japan

fYear

2004

fDate

2-4 Sept. 2004

Firstpage

495

Lastpage

499

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 LMI for stabilizing controller design.

Keywords

control system synthesis; discrete time systems; feedback; linear matrix inequalities; stability; controller design stability; descriptor variable feedback; discrete-time descriptor systems; linear matrix inequalities; static output feedback; Constraint theory; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Output feedback; Quantization; Robust control; Robust stability; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2004. Proceedings of the 2004 IEEE International Symposium on

ISSN

2158-9860

Print_ISBN

0-7803-8635-3

Type

conf

DOI

10.1109/ISIC.2004.1387733

Filename

1387733