Synchronization of N-Non-Linear Slave Systems with Master System Using Non-Adaptive and Adaptive Coupled Observers

Ghayyur Hussain, Muhammad Siddique, Muhammad Majid Hussain, Muhammad Tahir Hassan and Naeem Aslam
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Ghayyur Hussain: Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan
Muhammad Siddique: Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan
Muhammad Majid Hussain: Department of Electrical and Electronic Engineering, University of South Wales, Pontypirdd CF37 1DL, UK
Muhammad Tahir Hassan: Department of Mechanical Engineering, Bahauddn Zakariya University, Multan 66000, Pakistan
Naeem Aslam: Department of Electrical Engineering & Computer Science, NFC Institute of Engineering and Technology, Multan 66000, Pakistan

Energies, 2021, vol. 14, issue 11, 1-16

Abstract: Synchronization of N-slave chaotic systems with a master system is a challenging task, particularly in recent times. In this paper, a novel methodology is proposed for synchronizing the N number of slave systems with a master system. The proposed methodology is based on coupled adaptive synchronous observers. The difference between the corresponding states of master and slave systems is converged to the origin by means of a novel feedback control scheme to achieve synchronization between the master and slave systems. The efficacy of the proposed methodology is verified through a simulation of FitzHugh–Nagumo non-linear systems in MATLAB. The simulation results validate and prove claims, and these systems are successfully synchronized by CCS and CCAS observer-based control.

Keywords: synchronization; master and slave system; coupled chaotic synchronous observe; coupled chaotic adaptive synchronous observer (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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