Title :
Popov-like frequency criterion for existence of forced periodic oscillations
Author :
Bliman, P.-A. ; Skii, A. M Krasnosel
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
This paper deals with sufficient conditions for existence of forced periodic oscillations in control systems. These conditions use frequency properties of the linear plant and sector estimates of the nonlinearity, under a form closely related to Popov criterion. The results concern a general class of systems with time-dependent nonlinearities, as well as some nonlinearities with memory, especially hysteresis nonlinearities
Keywords :
Popov criterion; control nonlinearities; hysteresis; nonlinear systems; oscillations; time-varying systems; Popov criterion; forced periodic oscillations; frequency criterion; hysteresis; nonlinear periodic systems; nonlinearity; sufficient conditions; Control nonlinearities; Control system analysis; Control systems; Electrical engineering; Force control; Frequency estimation; Hysteresis; Limit-cycles; Nonlinear control systems; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757791
