Title :
Analysis and synthesis of limit cycle bifurcations in feedback systems
Author :
Genesio, R. ; Basso, M. ; Tesi, A.
Author_Institution :
Dipartimento di Sistemi e Inf., Firenze Univ., Italy
Abstract :
The paper studies the bifurcations of limit cycles of feedback systems depending on a parameter, and uses the harmonic balance method in a suitable frequency band to derive simplified conditions for their existence. These conditions give a picture of every kind of such (generic) bifurcations and can be applied to synthesize in a simple way nonlinear systems exhibiting specific attractors of given characteristics. An example is developed showing the application of the proposed method and the good approximation of the obtained results
Keywords :
bifurcation; closed loop systems; control system analysis; control system synthesis; harmonic analysis; limit cycles; nonlinear dynamical systems; attractors; bifurcations; feedback systems; harmonic balance method; limit cycles; nonlinear dynamical systems; Bifurcation; Chaos; Control systems; Feedback; Frequency; Limit-cycles; Mathematical model; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478583
