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

页码：1178 / 1182

页数：5