Abstract
In the context of chaotic secure communication and based on the sliding mode control technology, this article investigates the predefined-time modified function projective synchronization for the Colpitts oscillator multiscroll hyperchaotic systems. Firstly, a four-dimensional multiscroll hyperchaotic system is introduced and the predefined-time synchronization is defined. Subsequently, applying a novel predefined-time stability criterion, an integral terminal sliding mode surface is constructed for the synchronization error system to ensure that the sliding motion is stable within a predefined time; meanwhile, an approaching controller is designed to enable the error system to reach and remain on the sliding mode surface within another predefined time, so as to ensure the realization of the predefined-time synchronization. Finally, the simulation experiments are presented to verify the effectiveness of derived theoretical results.
Highlights
During the last decades, the chaotic system has attracted more and more attention due to its potential applications in secure communication [1,2,3,4]
We will focus on the design of predefinedtime synchronization control scheme by means of terminal sliding mode control technology. is control scheme will be realized by two steps: (1) construct a nonsingular terminal sliding surface to ensure the predefined-time stable of the sliding motion
We dealt with the problem of the predefinedtime modified function projective synchronization (MFPS) for a class of multiscroll chaotic systems
Summary
The chaotic system has attracted more and more attention due to its potential applications in secure communication [1,2,3,4]. E fixed-time stability has been applied to design robust control schemes for synchronizing chaotic systems [14,15,16]. If the synchronization scheme is designed based on the above control technique, the encrypted message will be decrypted within a predetermined time which is independent of the initial state. To the best of our knowledge, the predefined-time modified function projective synchronization (MFPS) for chaotic systems is still open, which is another motivation of our work. Motivated by the above discussion, in this article, the problem of predefined-time modified function projective synchronization is discussed for chaotic systems with multiple scrolls.
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