Title :
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
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657639
