analysis and control of commensurate fractional order systems

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• 作者：Christophe Farges ; Lamine Fadiga ; Jocelyn Sabatier
• 关键词：Fractional order systems ; H&infin ; H&infin ; norm ; State feedback control ; Linear Matrix Inequalities (LMIs) ; Kalman&ndash ; Yakubovi膷&ndash ; Popov
• 刊名：Mechatronics
• 出版年：October, 2013
• 年：2013
• 卷：23
• 期：7
• 页码：772-780
• 全文大小：703 K

文摘

This paper addresses the problem of the control of commensurate Fractional Order Systems (FOS). Along the lines of recent work on norm computation for FOS, new extensions of the and bounded real lemmas to FOS are given after stating the differences between those two norms. An state feedback control method based on the corresponding bounded real lemma is then proposed. The efficiency of this method is evaluated on numerical examples.