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

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.