Title :
Minimality for uncertain systems and IQCs
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
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;
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
DOI :
10.1109/CDC.1994.411314
