Pole-clustering characterization via LMI for descriptor systems

Author

Hsiung, Kan-Lin ; Lee, Li

Author_Institution

Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1313

Abstract

An LMI-based pole-clustering characterization for descriptor systems is investigated in the paper. Two classes of LMI regions, which contain all LMI regions in the open left half plane, are defined. Necessary and sufficient conditions in LMIs for checking simultaneously the regularity, impulse immunity, and finite poles locating in these regions are derived. After applying the shifting technique, almost all frequently used regions for pole assignment in control system designs can be exactly characterized. The results can be added as design constraints to the existing LMI-based H^∞ design for descriptor systems

Keywords

H^∞ control; control system synthesis; matrix algebra; pole assignment; H^∞ design; LMI regions; descriptor systems; finite poles; impulse immunity; linear matrix inequalities; necessary and sufficient conditions; pole-clustering characterization; regularity; shifting technique; Control systems; Control theory; Eigenvalues and eigenfunctions; Matrix converters; Robustness; Strips; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657639

Filename

657639