Chaotic synchronization of four-dimensional fractional order Rösslor systems based on adaptive sliding mode

Shuaiwei Li; Xiaoshan Zhao; Ruilong Yang

doi:10.1117/12.3011021

1 December 2023 Chaotic synchronization of four-dimensional fractional order Rösslor systems based on adaptive sliding mode

Shuaiwei Li, Xiaoshan Zhao, Ruilong Yang

Author Affiliations +

Proceedings Volume 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023); 129402U (2023) https://doi.org/10.1117/12.3011021
Event: Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 2023, Sipsongpanna, China

Abstract

In this paper, based on adaptive control and terminal sliding mode control method, we introduce a new four-dimensional fractional-order (4-D FO) Rösslor hyperchaotic system with uncertainty and external disturbances, and design a new controller to study its synchronization problem. First, a fractional order sliding surface is designed to make the error dynamics converge to near zero in finite time on the sliding surface, and then, a new sliding controller with adaptive updating laws is designed , which eliminates the effect of nonlinear terms in the systems and makes the error system converge to zero quickly , this results in synchronized of the drive and response systems, finally, based on the 4-D FO Rösslor chaotic system, numerical simulations show that the controller based on adaptive control and terminal sliding mode designed in this paper has good practicality and feasibility.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Shuaiwei Li, Xiaoshan Zhao, and Ruilong Yang "Chaotic synchronization of four-dimensional fractional order Rösslor systems based on adaptive sliding mode", Proc. SPIE 12940, Third International Conference on Control and Intelligent Robotics (ICCIR 2023), 129402U (1 December 2023); https://doi.org/10.1117/12.3011021

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