Title :
Characterization of robust finite frequency positive-real property
Author :
Yamauchi, Hirokazu ; Hara, Shinji ; Iwasaki, Tetsuya
Author_Institution :
Tokyo Inst. of Technol., Japan
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;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946292
