文章基本信息

标题：Using state feedback control to stabilize unstable equilibrium points of the unified fractional-order chaotic system
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作者：E. R. Ghotb ; A. N. Ranjbar ; Z. Rahmani 等
期刊名称：Scientific Research and Essays
印刷版ISSN：1992-2248
出版年度：2011
卷号：6
期号：28
页码：5937-5950
DOI：10.5897/SRE10.1218
语种：English
出版社：Academic Journals
摘要：In this paper, a state feedback controller is designed to stabilize a class of fractional order unified systems at their unstable equilibrium points. The fractional-order chaotic Chen system is chosen to get stabilized in two cases of commensurate and incommensurate orders. An observer based technique is used to identify an unknown parameter of the unified system. The system with identified parameter is stabilized at their unstable equilibrium points using two different methods of; a classical feedback scheme and so called the enhanced one. According to the Routh-Hurwitz and relevant stability theorem for fractional system, the stability criteria are discussed whilst they are theoretically proven. Simulation results are demonstrated for the Chen system to illustrate the effectiveness of the proposed control scheme. Simulation result verifies using the proposed control technique increases the stability region of the unified fractional system regardless for commensurate or incommensurate orders. Considering the simplicity in the structure of the controller, the convergence speed is found satisfactory.
关键词：Unified chaotic system; state feedback; uncertainty principle; chaosstabilization; equilibrium points