Finite-Time Synchronization Between Two Different Chaotic Systems by Adaptive Sliding Mode Control

Tino, Nipaporn; Niamsup, Piyapong

doi:10.3389/fams.2021.589406

Cited by 2 publications

(1 citation statement)

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“…2 Analyzing preset time synchronization for two chaotic systems of different dimensions, which can achieve the simultaneity of two chaotic systems of different dimensions in a predetermined time, employing adaptive control [27]. For synchronization between two separate chaotic systems with unknown parameters and disturbances, the fast non-singular terminal sliding mode adaptive control strategy has been examined [28]. For complex fractional-order laser synchronization in the presence of system uncertainties and external disturbances, a chatter-free finite-time SMC sliding surface approach has been suggested [29].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller

Rasouli,

Zare,

Alizadehsani

2023

Preprint

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This study presents finite-time synchronization of chaotic fractional order systems with disturbance uncertainty and unknown time delay. First, a PID sliding surface is presented. Then, for the finite-time synchronization of the master and slave systems, a robust sliding-adaptive control method is provided. Update rules have been retrieved to estimate the system parameters by using the Lyapunov function while establishing the stability of the suggested mechanism and assuring the convergence of errors to zero. The proposed approach was used to solve the fractional order system of Gensou-Tsei with time-varying parameters, and the simulation results show that the presented approach performs well.

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Section: Introductionmentioning

confidence: 99%