Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems

被引：69

作者：

Bigdeli, Nooshin ^{[1
]}

Ziazi, Hossein Alinia ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Elect Engn, Qazvin, Iran

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 01期

关键词：

PROJECTIVE SYNCHRONIZATION; ROBUST SYNCHRONIZATION; UNKNOWN-PARAMETERS; LIU SYSTEM; LU SYSTEM; DESIGN; APPROXIMATION;

D O I：

10.1016/j.jfranklin.2016.10.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper precedes chaos control of fractional-order chaotic systems in presence of uncertainty and external disturbances. Based on some basic properties on fractional calculus and the stability theorems, we present a hybrid adaptive intelligent backstepping-sliding mode controller (FAIBSMC) for the finite-time control of such systems. The FAIBSMC is proposed based on the concept of active control technique. The asymptotic stability of the controller is shown based on Lyapunov theorem and the finite time reaching to the sliding surfaces is also proved. Illustrative and comparative examples and simulation results are given to confirm the effectiveness of the proposed procedure, which consent well with the analytical results. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：160 / 183

页数：24

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