DocumentCode
1663472
Title
Minimality for uncertain systems and IQCs
Author
Beck, Carolyn
Author_Institution
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Volume
3
fYear
1994
Firstpage
3068
Abstract
A necessary and sufficient condition is presented for the minimality of uncertain systems represented by a linear fractional transformation (LFT) on repeated scalar time-varying operators. This condition generalizes the role of controllability and observability gramians, and is expressed in terms of singular solutions to a pair of linear matrix inequalities (LMIs). Previous results on S-procedure losslessness for integral quadratic constraints (IQCs) play a key role in these results
Keywords
controllability; matrix algebra; observability; stability; uncertain systems; S-procedure losslessness; controllability gramians; integral quadratic constraints; linear fractional transformation; linear matrix inequalities; minimality; necessary and sufficient condition; observability gramians; repeated scalar time-varying operators; singular solutions; uncertain systems; Control system synthesis; Design methodology; Linear matrix inequalities; Observability; Robust control; Stability; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location
Lake Buena Vista, FL
Print_ISBN
0-7803-1968-0
Type
conf
DOI
10.1109/CDC.1994.411314
Filename
411314
Link To Document