Title :
Excitation of oscillations in nonlinear systems under static feedback
Author :
Efimov, Denis V. ; Fradkov, Alexander L.
Author_Institution :
Control of Complex Syst. Lab., Inst. of Problem of Mech. Eng., St. Petersburg, Russia
Abstract :
New conditions for oscillatority of a system in the sense of Yakubovich (1973) are proposed. These conditions are applicable to nonlinear systems decomposed into two nonlinear parts. Upper and lower bounds for oscillation amplitude are obtained. The relation between the oscillatority bounds and excitability indices for the systems with the input are established. An example illustrating the proposed results by computer simulation is given.
Keywords :
control system analysis; feedback; nonlinear dynamical systems; excitability indices; nonlinear systems; oscillation amplitude; oscillation excitation; oscillatory bounds; static feedback; Chaos; Computer simulation; Control system synthesis; Control systems; Design methodology; Feedback; Motion control; Nonlinear control systems; Nonlinear systems; Stability analysis;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428818
