Title :
Analytic description of transient processes in nonlinear dynamic systems with atypical nonlinearities
Author :
Lazarevska, Elizabeta D.
Author_Institution :
Elektrothnicki Fakultet, Karpos II, Yugoslavia
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;
Conference_Titel :
Electrotechnical Conference, 1991. Proceedings., 6th Mediterranean
Conference_Location :
LJubljana
Print_ISBN :
0-87942-655-1
DOI :
10.1109/MELCON.1991.161996
