A fixed-time prescribed performance control scheme for synchronizing chaotic systems with fixed-time disturbance observers
Source abstract
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.
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Research context
OpenAlex topics: Chaos control and synchronization · Neural Networks Stability and Synchronization · Nonlinear Dynamics and Pattern Formation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mathematics, Nanjing University of Aeronautics and Astronautics 1 , Nanjing 210016,
School of Finance and Mathematics, Huainan Normal University 2 , Huainan 232038,
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