A novel fast terminal sliding mode with predefined-time synchronization

• Published in: Chaos, solitons and fractals solitons and fractals, 2023-10, Vol.175, p.114049, Article 114049
• Main Authors: Xue, Haibo, Liu, Xinghua
• Format: Article
• Language: English
• Subjects: Chaotic system; Fast terminal sliding mode (FTSM); Predefined-time synchronization; Robust controller
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.114049

This paper aims to investigate the predefined-time synchronization analysis for two different multiple-input-multiple-output systems. Firstly, based on the definition of predefined-time synchronization, we propose a novel Lyapunov function and a novel fast terminal sliding mode, each having corresponding sufficient conditions for predefined-time synchronization. Second, we respectively derive the novel fast terminal sliding mode controllers for synchronization schemes with and without taking into account the uncertainty. The desired convergence time can be obtained by setting predefined-time parameters Tpi in advance. Finally, the controllers and the corresponding parameters designed for comparison are applied to predefined-time synchronization of two chaotic systems. The efficacy and robustness of the obtained results are demonstrated by numerical simulations. •We propose a novel sufficient condition to ensure the predefined-time synchronization by the novel Lyapunov function.•A sufficient condition has been derived to guarantee the predefined-time synchronization by the novel fast terminal sliding mode.•A novel fast terminal sliding mode controller have been derived for the predefined-time synchronization.•A novel robust fast terminal sliding mode controller have been derived for the predefined-time synchronization of two different chaotic systems, which have uncertainty including parametric uncertainty and external disturbances.•Numerical simulation results of synchronization of two different chaotic systems are also included to check theoretical results and the effect of corresponding parameters in predefined-time synchronization respectively. So that the results can be the guidance for the selection of controller parameters.