Title :
On the robust Popov criterion for interval Lur´e systems
Author :
Dahleh, Mohammed ; Tesi, Alberto ; Vicino, Antonio
Author_Institution :
Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
A robust version of the classical Popov criterion is given for robust absolute stability of Lur´e systems including parametric uncertainty. The parametric dependence is modeled by an interval plant description. The generalized criterion is obtained in terms of a vertex result for the Popov strict positive realness condition. For the case of interval Lur´e systems, a sufficient condition is established for absolute stability requiring the application of the Popov condition to a finite number of linear plants independent of the order of the linear system
Keywords :
Popov criterion; linear systems; Popov strict positive realness condition; interval Lur´e systems; linear system; parametric dependence; parametric uncertainty; robust Popov criterion; robust absolute stability; sufficient condition; vertex result; Closed loop systems; Control systems; Linear systems; Mechanical engineering; Robust stability; Robustness; Stability criteria; Sufficient conditions; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371305
