Next Article in Journal
Improved YOLO Based Detection Algorithm for Floating Debris in Waterway
Next Article in Special Issue
A Comprehensive Diagnosis Method of Rolling Bearing Fault Based on CEEMDAN-DFA-Improved Wavelet Threshold Function and QPSO-MPE-SVM
Previous Article in Journal
Application of the Free Tangent Law in Quantification of Household Satisfaction from Durable Consumer Goods
Previous Article in Special Issue
Observer Based Multi-Level Fault Reconstruction for Interconnected Systems
 
 
Article

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

1
College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
2
Faculty of Computers and Artificial Intelligence, Benha University, Benha 13511, Egypt
3
Instituto de Investigación en Energía, Universidad Nacional Autonoma de Honduras (UNAH), Tegucigalpa 11101, Honduras
4
Research Collaborator, Prince Sultan University, Riyadh 11586, Saudi Arabia
5
FET–Engineering, Design and Mathematics, University of the West of England, Bristol BS16 1QY, UK
6
Electrical Engineering Department, University of Sharjah, Sharjah 27272, United Arab Emirates
7
Department of Electrical and Information Engineering, Universita degli Studi di Cassino e del Lazio Meridionale, 03043 Cassino, Italy
8
Faculty of Mechanical & Electrical Engineering, Kunming University of Science and Technology, No. 727 Jingming South Road, Chenggong, Kunming 650500, China
9
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
10
Faculty of Engineering, Cairo University, Giza 12613, Egypt
*
Author to whom correspondence should be addressed.
Academic Editor: José A. Tenreiro Machado
Entropy 2021, 23(9), 1110; https://doi.org/10.3390/e23091110
Received: 29 July 2021 / Revised: 22 August 2021 / Accepted: 23 August 2021 / Published: 27 August 2021
(This article belongs to the Special Issue Complex Dynamic System Modelling, Identification and Control)
In this paper, the robust stabilization and synchronization of a novel chaotic system are presented. First, a novel chaotic system is presented in which this system is realized by implementing a sigmoidal function to generate the chaotic behavior of this analyzed system. A bifurcation analysis is provided in which by varying three parameters of this chaotic system, the respective bifurcations plots are generated and evinced to analyze and verify when this system is in the stability region or in a chaotic regimen. Then, a robust controller is designed to drive the system variables from the chaotic regimen to stability so that these variables reach the equilibrium point in finite time. The robust controller is obtained by selecting an appropriate robust control Lyapunov function to obtain the resulting control law. For synchronization purposes, the novel chaotic system designed in this study is used as a drive and response system, considering that the error variable is implemented in a robust control Lyapunov function to drive this error variable to zero in finite time. In the control law design for stabilization and synchronization purposes, an extra state is provided to ensure that the saturated input sector condition must be mathematically tractable. A numerical experiment and simulation results are evinced, along with the respective discussion and conclusion. View Full-Text
Keywords: chaos theory; bifurcation; stabilization; chaos synchronization; robust control chaos theory; bifurcation; stabilization; chaos synchronization; robust control
Show Figures

Figure 1

MDPI and ACS Style

Azar, A.T.; Serrano, F.E.; Zhu, Q.; Bettayeb, M.; Fusco, G.; Na, J.; Zhang, W.; Kamal, N.A. Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints. Entropy 2021, 23, 1110. https://doi.org/10.3390/e23091110

AMA Style

Azar AT, Serrano FE, Zhu Q, Bettayeb M, Fusco G, Na J, Zhang W, Kamal NA. Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints. Entropy. 2021; 23(9):1110. https://doi.org/10.3390/e23091110

Chicago/Turabian Style

Azar, Ahmad Taher, Fernando E. Serrano, Quanmin Zhu, Maamar Bettayeb, Giuseppe Fusco, Jing Na, Weicun Zhang, and Nashwa Ahmad Kamal. 2021. "Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints" Entropy 23, no. 9: 1110. https://doi.org/10.3390/e23091110

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop