Stability Analysis of a Class of Nonlinear Fractional-Order Systems

被引：184
|
作者：
Wen, Xiang-Jun [1 ]
Wu, Zheng-Mao [2 ]
Lu, Jun-Guo [2 ]
机构：
[1] Guangxi Power Grid Corp, NNPSB, Nanning 530031, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2008年 / 55卷 / 11期
关键词：
Chaos; fractional-order system; linear state feedback; nonlinear; stability;
D O I：
10.1109/TCSII.2008.2002571
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, a stability theorem of nonlinear fractional-order differential equations is proven theoretically by using the Gronwall-Bellman lemma. According to this theorem, the linear state feedback controller is introduced for stabilizing a class of nonlinear fractional-order systems. And, a new criterion is derived for designing the controller gains for stabilization, in which control parameters can be selected via the pole placement technique of the linear fractional-order control theory. Finally, the theoretical results are further substantiated by simulation results of the fractional-order chaotic Lorenz System with desired design requirements.
引用
收藏
页码：1178 / 1182
页数：5
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