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

被引:70
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
收藏
页码:160 / 183
页数:24
相关论文
共 63 条
[1]   Robust Timing and Frequency Synchronization for OFDM Systems [J].
Abdzadeh-Ziabari, Hamed ;
Shayesteh, Mahrokh G. .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2011, 60 (08) :3646-3656
[2]   Adaptive Finite-Time Synchronization of Non-Autonomous Chaotic Systems With Uncertainty [J].
Aghababa, Mohammad Pourmahmood ;
Aghababa, Hasan Pourmahmood .
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2013, 8 (03)
[3]   Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller [J].
Aghababa, Mohammad Pourmahmood .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) :2670-2681
[4]   A modified adaptive control method for synchronization of some fractional chaotic systems with unknown parameters [J].
Agrawal, S. K. ;
Das, S. .
NONLINEAR DYNAMICS, 2013, 73 (1-2) :907-919
[5]  
[Anonymous], 1995, NONLINEAR ADAPTIVE C
[6]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[7]  
[Anonymous], 2001, APPL FRACTIONAL CALC
[8]   Robust synchronization of perturbed Chen's fractional-order chaotic systems [J].
Asheghan, Mohammad Mostafa ;
Beheshti, Mohammad Taghi Hamidi ;
Tavazoei, Mohammad Saleh .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :1044-1051
[9]   Synchronization of different fractional order chaotic systems using active control [J].
Bhalekar, Sachin ;
Daftardar-Gejji, Varsha .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) :3536-3546
[10]   Fuzzy generalized projective synchronization of incommensurate fractional-order chaotic systems [J].
Boulkroune, A. ;
Bouzeriba, A. ;
Bouden, T. .
NEUROCOMPUTING, 2016, 173 :606-614