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

Mohammad Rasouli; Assef Zare; Roohallah Alizadehsani

doi:10.20944/preprints202309.0615.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 8 September 2023 / Approved: 8 September 2023 / Online: 11 September 2023 (09:28:53 CEST)

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.

fractional order chaotic system; finite-time synchronization; sliding controller; robust adaptive

Engineering, Electrical and Electronic Engineering

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

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