Analytic description of transient processes in nonlinear dynamic systems with atypical nonlinearities

Author

Lazarevska, Elizabeta D.

Author_Institution

Elektrothnicki Fakultet, Karpos II, Yugoslavia

fYear

1991

Firstpage

939

Abstract

A method for the analytic description of transient processes in nonlinear dynamic systems with atypical nonlinearities is proposed. It assumes that the phase-plane trajectory of the dynamic system of interest is known. The only restriction of the method imposed on the phase-plane trajectory is that it should be a step-by-step continuous one. Then, by approximating the phase-plane trajectory step-by-step by adequate approximative functions according a chosen quality criterion, it is possible to analytically (in an approximative sense) determine the time in the phase-plane, and thus to determine the duration of the transient process of interest and the transient process itself

Keywords

control nonlinearities; control system analysis; dynamics; function approximation; nonlinear control systems; transient response; approximative functions; control nonlinearities; nonlinear dynamic systems; phase-plane trajectory; transient processes; Concrete; Graphics; Integral equations; Microwave integrated circuits; Nonlinear dynamical systems; Polynomials; Transient analysis; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrotechnical Conference, 1991. Proceedings., 6th Mediterranean

Conference_Location

LJubljana

Print_ISBN

0-87942-655-1

Type

conf

DOI

10.1109/MELCON.1991.161996

Filename

161996