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.
Highlights
Synchronization of non-linear systems is crucially important to real-life systems
The master and N-slave systems with known parameters were synchronized by the proposed technique presented in Theorem 1
The chaotic adaptive synchronous (CCAS) observer-based control has a slower response than the chaotic synchronous (CCS) observer-based control
Summary
Synchronization of non-linear systems is crucially important to real-life systems. As a result of this importance, many researchers have explored a variety of methodologies for the synchronization of master–slave architectures. Researchers worked hard on the synchronization of chaotic systems, introducing different techniques Different techniques, such as evolutionary algorithms [14], adaptive generalized projective synchronization (GPS) [15], the observerbased step-by-step sliding mode technique [16], robust adaptive methodologies [17,18], back-stepping techniques [19], an adaptive scheme using fuzzy uncertain disturbance observers [20], delay range-dependent practices [21,22], synchronization through Huygens’ coupling [23], non-linear observer Runge–Kutta’s model [24], full order and reduced order output-affine observers [25], linear feedback control [26], and the unknown input of Takagi–Sugeno’s fuzzy chaotic systems, synchronized in [12].
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