Finite-time synchronization of a new five-dimensional hyper-chaotic system via terminal sliding mode control

被引：6
作者：
Mostafaee, J. [1 ]
Mobayen, S. [2 ,3 ]
Vaseghi, B. [4 ]
Vahedi, M. [1 ]
机构：
[1] Islamic Azad Univ, Dept Elect Engn, Saveh Branch, Saveh, Iran
[2] Univ Zanjan, Dept Elect Engn, Zanjan, Iran
[3] Natl Yunlin Univ Sci & Technol, Future Technol Res Ctr, 123 Univ Rd,Sect 3, Touliu 64002, Yunlin, Taiwan
[4] Islamic Azad Univ, Dept Elect Engn, Abhar Branch, Abhar, Iran
来源：
SCIENTIA IRANICA | 2023年 / 30卷 / 01期
关键词：
Hyper-chaotic system; Chaos synchronization; Terminal sliding mode; control; Finite-time stability; Robustness; NEURAL-NETWORKS; SECURE COMMUNICATION; GENERALIZED SYNCHRONIZATION; DYNAMICS; DESIGN;
D O I：
10.24200/sci.2021.56313.4657
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This study constructs a new 5D nonlinear hyper-chaotic system with attractive and complex behaviors. The standard behaviors of the chaotic system will also be analyzed including: Equilibrium Point (EP), Bifurcation Diagram (BD), Poincare Map (PM), Lyapunov Exponent (LE), and Kaplan-Yorke dimensional. We prove that the introduced new 5D hyper-chaotic system has complex and nonlinear behaviors. Next, the work describes Fast Terminal Sliding Mode Control (FTSMC) scheme for the control and finite-time fast synchronization of the novel 5D nonlinear hyper-chaotic system. Proof of stability for both phases has been done for the new controller with the Lyapunov stability theory. To ensure synchronization, both master-slave subsystems are perturbed by different parameter and model uncertainties. Both steps of the Sliding Mode Controller (SMC) have chaos-based fast convergence properties. Subsequently, it has been shown that the state paths of both master-slave systems can reach each other in a limited time. One of the features of the novel controller in this paper is high performance and finite-time stability of the terminal sliding surface due to derivative error and other errors. Finally, by using the MATLAB simulation, the results are confirmed for the new hyper-chaotic system.
引用
收藏
页码：167 / 182
页数：16
相关论文
共 76 条
  • [11] Canyelles-Pericas P., 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC), P2078, DOI 10.1109/CDC.2017.8263953
  • [12] Yet another chaotic attractor[J]. Chen, GR;Ueta, T. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999(07)
  • [13] Chen Y., 2012, RECENT ADV COMPUT SC, V28, P217, DOI [10.1007/978-3-642-25778-032, DOI 10.1007/978-3-642-25778-032]
  • [14] Relevance of watermarking in medical imaging[J]. Coatrieux, G;Maître, H;Sankur, B;Rolland, Y;Collorec, R. 2000 IEEE EMBS INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY APPLICATIONS IN BIOMEDICINE, PROCEEDINGS, 2000
  • [15] Adaptive Unknown-Input Observers-Based Synchronization of Chaotic Systems for Telecommunication[J]. Dimassi, Habib;Loria, Antonio. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011(04)
  • [16] Fractional Fuzzy Adaptive Sliding-Mode Control of a 2-DOF Direct-Drive Robot Arm[J]. Efe, Mehmet Oender. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008(06)
  • [17] Feng Yong., 2018, Advances in Variable Structure Systems and Sliding Mode Control-Theory and Applications, P341, DOI DOI 10.1007/978-3-319-62896-7_14
  • [18] Symmetric ciphers based on two-dimensional chaotic maps[J]. Fridrich, J. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998(06)
  • [19] Hyperchaos generated from Chen's system[J]. Gao, Tiegang;Chen, Zengqiang;Yuan, Zhuzhi;Chen, Guanrong. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2006(04)
  • [20] Design of adaptive sliding mode control for synchronization Genesio-Tesi chaotic system[J]. Ghamati, Mina;Balochian, Saeed. CHAOS SOLITONS & FRACTALS, 2015
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