Version 1
: Received: 8 September 2023 / Approved: 8 September 2023 / Online: 11 September 2023 (09:28:53 CEST)
How to cite:
Rasouli, M.; Zare, A.; Alizadehsani, R. Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller. Preprints2023, 2023090615. https://doi.org/10.20944/preprints202309.0615.v1
Rasouli, M.; Zare, A.; Alizadehsani, R. Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller. Preprints 2023, 2023090615. https://doi.org/10.20944/preprints202309.0615.v1
Rasouli, M.; Zare, A.; Alizadehsani, R. Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller. Preprints2023, 2023090615. https://doi.org/10.20944/preprints202309.0615.v1
APA Style
Rasouli, M., Zare, A., & Alizadehsani, R. (2023). Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller. Preprints. https://doi.org/10.20944/preprints202309.0615.v1
Chicago/Turabian Style
Rasouli, M., Assef Zare and Roohallah Alizadehsani. 2023 "Finite-Time Synchronization of Chaotic Systems using Fractional Order Nonlinear PID Adaptive Sliding Controller" Preprints. https://doi.org/10.20944/preprints202309.0615.v1
Abstract
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.
Keywords
fractional order chaotic system; finite-time synchronization; sliding controller; robust adaptive
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.