DocumentCode
1751676
Title
Characterization of robust finite frequency positive-real property
Author
Yamauchi, Hirokazu ; Hara, Shinji ; Iwasaki, Tetsuya
Author_Institution
Tokyo Inst. of Technol., Japan
Volume
4
fYear
2001
fDate
2001
Firstpage
2710
Abstract
We consider a class of uncertain transfer functions and present a characterization of robustly positive-real transfer functions in a restricted frequency range. In particular, a sufficient condition for robust finite-frequency positive-realness is developed in the spirit of parameter-dependent Lyapunov functions, and is given in terms of linear matrix inequalities. Our result plays a crucial role in the structure/control design integration
Keywords
Lyapunov methods; control system synthesis; matrix algebra; robust control; transfer functions; uncertain systems; LMI; linear matrix inequalities; parameter-dependent Lyapunov functions; restricted frequency range; robust finite frequency positive-real property; robustly positive-real transfer functions; uncertain transfer functions; Bandwidth; Control design; Frequency; Linear matrix inequalities; Lyapunov method; Robust stability; Robustness; Sufficient conditions; Transfer functions; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2001. Proceedings of the 2001
Conference_Location
Arlington, VA
ISSN
0743-1619
Print_ISBN
0-7803-6495-3
Type
conf
DOI
10.1109/ACC.2001.946292
Filename
946292
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