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Stabilization of unstable fixed points of fractional-order systems by fractional-order linear controllers and Its applications in suppression of chaotic oscillations / Mohammad Saleh Tavazoei in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 132 N° 2 (Mars/Avril 2010) 

Public ISBD [article]  in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 2 (Mars/Avril 2010) . - 07 p. Titre : Stabilization of unstable fixed points of fractional-order systems by fractional-order linear controllers and Its applications in suppression of chaotic oscillations Type de document : texte imprimé Auteurs : Mohammad Saleh Tavazoei, Auteur ; Mohammad Haeri, Auteur Année de publication : 2010 Article en page(s) : 07 p. Note générale : Systèmes dynamiques Langues : Anglais (eng) Mots-clés : Chaos  Control  nonlinearities  Linear  systems  Linearisation  techniques  Nonlinear  control  systems  Observability  Oscillations  Stability  State  feedback Index. décimale : 629.8 Résumé : In this paper, two fractional-order linear controllers are proposed to stabilize unstable equilibrium points of a chaotic fractional-order system. The first controller is based on the dynamic output feedback control idea and requires detectability of the linearized model of the fractional-order system on the equilibrium point. The second controller is a dynamic state feedback controller and requires observability of the linearized model. In both considered cases, the stabilizability of the model is assumed. The number of inner states in the second controller is one and therefore its structure is much simpler than the first controller. To illustrate the applicability, these controllers are applied to control chaos in the fractional-order Chen system. Numerical simulations results are presented to evaluate the performance of the proposed controllers. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...] [article] Stabilization of unstable fixed points of fractional-order systems by fractional-order linear controllers and Its applications in suppression of chaotic oscillations [texte imprimé] / Mohammad Saleh Tavazoei, Auteur ; Mohammad Haeri, Auteur . - 2010 . - 07 p. Systèmes dynamiques Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 2 (Mars/Avril 2010) . - 07 p. Mots-clés : Chaos  Control  nonlinearities  Linear  systems  Linearisation  techniques  Nonlinear  control  systems  Observability  Oscillations  Stability  State  feedback Index. décimale : 629.8 Résumé : In this paper, two fractional-order linear controllers are proposed to stabilize unstable equilibrium points of a chaotic fractional-order system. The first controller is based on the dynamic output feedback control idea and requires detectability of the linearized model of the fractional-order system on the equilibrium point. The second controller is a dynamic state feedback controller and requires observability of the linearized model. In both considered cases, the stabilizability of the model is assumed. The number of inner states in the second controller is one and therefore its structure is much simpler than the first controller. To illustrate the applicability, these controllers are applied to control chaos in the fractional-order Chen system. Numerical simulations results are presented to evaluate the performance of the proposed controllers. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...]