期刊
JOURNAL OF VIBRATION AND CONTROL
卷 20, 期 7, 页码 1042-1051出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546312475151
关键词
stability analysis; Fractional-order chaotic system; chaos control; linear interval system; linear matrix inequality
资金
- Islamic Azad University, Miyaneh Branch
This paper is concerned with the problem of robust state feedback controller design to suppress fractional-order chaotic systems. A general class of fractional-order chaotic systems is considered and it is assumed that the systems' equations depend on bounded uncertain parameters. We transform the chaotic system equations into linear interval systems, and a sufficient stabilizability condition is derived in terms of linear matrix inequality (LMI). Then, an appropriate feedback gain is introduced to bring the chaotic states to the origin. Such design will result in a simple but effective controller. Several numerical simulations have been carried out to verify the effectiveness of the theoretic results.
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