DocumentCode :
2835079
Title :
An input/output approach for the analysis of the quasi-static regime
Author :
Ikhouane, Fayçal
Author_Institution :
Dept. de Mat. Aplic. III, Univ. Politec. de Catalunya, Barcelona, Spain
fYear :
2010
fDate :
26-28 May 2010
Firstpage :
979
Lastpage :
984
Abstract :
Hysteresis is a nonlinear phenomenon exhibited by systems stemming from various science and engineering areas. To detect experimentally the presence of hysteresis in a system, the graph output versus input of the system is plotted for different frequencies of the input. For hysteresis systems, these graphs converge to a quasi-static limit set when the frequency goes to zero. Moreover, the quasi-static graph approaches asymptotically a periodic orbit. Thus, hysteresis is nonlinear phenomenon that can be detected only in the quasi-static regime, that is when the frequency content of the input goes to zero. The relevance of hysteresis in applications and the fact that it is essentially a quasi-static phenomenon makes it important to characterize mathematically the quasi-static regime, which is the purpose of this paper. Although this work is motivated by hysteresis systems, the tools that are presented are not limited to this class of systems. For this reason, the systems that we consider are seen as operators that map an input signal and initial condition to an output signal, all of them belonging to some specified sets. The main result of this paper is a new criterion for the existence, uniqueness and mathematical characterization of the quasi-static regime.
Keywords :
graph theory; graphs; mathematical operators; frequency content; hysteresis system; input-output approach; nonlinear phenomenon; operator mapping; quasi-static graph; quasi-static limit set; quasi-static regime; Frequency; Hysteresis; Linear systems; Nonlinear dynamical systems; Perturbation methods; Technological innovation; Input/output; operator; quasi-static regime;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
Type :
conf
DOI :
10.1109/CCDC.2010.5498077
Filename :
5498077
Link To Document :
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