Work

A fixed-time prescribed performance control scheme for synchronizing chaotic systems with fixed-time disturbance observers

Year: 2025

Type: article

Abstract: This study investigates the synchronization problem of chaotic systems based on a fixed-time disturbance observer. To address practical requirements, a novel fixed-time observer is proposed for estimating external disturbances, with the disturbance error proven to be practically fixed-time stable. Subsequently, a finite-time performance function and tangent transformation function were utilized to transform the synchronization error system into an equivalent system. The designed prescribed performance controllers guarantee the boundedness of the closed-loop system. Moreover, all synchronization errors were confined within a predefined range. The results of comparative simulations highlight the effectiveness and advantages of the proposed method.

Source: AIP Advances

DOI: 10.1063/5.0295830

Authors: Fang Zhu, Wei Xiang

Institutions: Huainan Normal University, Nanjing University of Aeronautics and Astronautics

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,350

OpenAlex ID: W4414965448