ADAPTIVE CONTROLLABILITY OF MICROSCOPIC CHAOS GENERATED IN CHEMICAL REACTOR SYSTEM USING ANTI-SYNCHRONIZATION STRATEGY

被引:7
作者
Khan, Taqseer [1 ]
Chaudhary, Harindri [1 ]
机构
[1] Jamia Millia Islamia, Dept Math, New Delhi, India
来源
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2022年 / 12卷 / 03期
关键词
Adaptive control method; Chaotic system; Lyapunov stability analysis; Anti-Synchronization; Chemical reactor system; COMPLEX PROJECTIVE SYNCHRONIZATION; NEURAL-NETWORKS; CHUAS CIRCUIT; DYNAMICS;
D O I
10.3934/naco.2021025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this manuscript, we design a methodology to investigate the anti-synchronization scheme in chaotic chemical reactor system using adaptive control method (ACM). Initially, an ACM has been proposed and analysed systematically for controlling the microscopic chaos found in the discussed system which is essentially described by employing Lyapunov stability theory (LST). The required asymptotic stability criterion of the state variables of the discussed system having unknown parameters is derived by designing appropriate control functions and parameter updating laws. In addition, numerical simulation results in MATLAB software are performed to illustrate the effective presentation of the considered strategy. Simulations outcomes correspond that the primal aim of chaos control in the given system have been attained computationally.
引用
收藏
页码:611 / 620
页数:10
相关论文
共 41 条
[1]   A new class of neural networks and its applications [J].
Bouallegue, Kais .
NEUROCOMPUTING, 2017, 249 :28-47
[2]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[3]   Projective synchronization of nonidentical fractional-order neural networks based on sliding mode controller [J].
Ding, Zhixia ;
Shen, Yi .
NEURAL NETWORKS, 2016, 76 :97-105
[4]   LIAPUNOV EXPONENTS FROM TIME-SERIES [J].
ECKMANN, JP ;
KAMPHORST, SO ;
RUELLE, D ;
CILIBERTO, S .
PHYSICAL REVIEW A, 1986, 34 (06) :4971-4979
[5]   Generation & control of chaos in a single loop optoelectronic oscillator Chock [J].
Ghosh, Dia ;
Mukherjee, Arindum ;
Das, Nikhil Ranjan ;
Biswas, Baidya Nath .
OPTIK, 2018, 165 :275-287
[6]   DEPHASING AND BURSTING IN COUPLED NEURAL OSCILLATORS [J].
HAN, SK ;
KURRER, C ;
KURAMOTO, Y .
PHYSICAL REVIEW LETTERS, 1995, 75 (17) :3190-3193
[7]   Hybrid projective synchronization in a chaotic complex nonlinear system [J].
Hu, Manfeng ;
Yang, Yongqing ;
Xu, Zhenyuan ;
Guo, Liuxiao .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (03) :449-457
[8]  
HUBLER A, 1989, HELV PHYS ACTA, V62, P343
[9]   Hybrid projective combination-combination synchronization in non-identical hyperchaotic systems using adaptive control [J].
Khan, Ayub ;
Chaudhary, Harindri .
ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) :597-611
[10]   Complete and lag synchronization of hyperchaotic systems using small impulses [J].
Li, CD ;
Liao, XF .
CHAOS SOLITONS & FRACTALS, 2004, 22 (04) :857-867