TITLE:
Chaos Synchronization of the Lorenz System Using Adaptive Backstepping Finite-Time Controller Design
AUTHORS:
R.M.D.L Souamy, Mavie Grace Mimesse, Guoping Jiang, Honghua Wang, Christian Tathy, Baowen Xu
KEYWORDS:
Chaotic Lorenz System, Finite-Time Synchronization, Adaptive Backstepping Controller, Uncertainty
JOURNAL NAME:
Journal of Flow Control, Measurement & Visualization,
Vol.13 No.1,
December
30,
2025
ABSTRACT: This paper presents an adaptive backstepping control strategy to achieve finite-time Chaos synchronization for the uncertain Lorenz system. Using Lyapunov stability theory, a controller is designed to ensure that the synchronization error converges to zero in a finite time, even in the presence of unknown system parameter constants and external disturbances. The effectiveness of the proposed method is demonstrated through numerical simulations.