A ZNN-based sliding mode control strategy for solving synchronization problems of chaotic systems with application in memristor oscillator

In this article, a fixed-time sliding mode control (FTSMC) strategy is proposed to solve the synchronization problem of a class of generalized nonlinear chaotic systems (CSs). In the process of solving such problems, the following three main works are conducted: 1) an integral sliding manifold based on zeroing neural network is devised to improve the convergence and robustness of CSs; 2) a controller with superior performance is designed so that CSs can be synchronized within a fixed-time, and the upper bound of the convergence time is independent of the initial states; 3) a novel activation function is proposed to weaken the chattering phenomenon. In addition, through rigorous mathematical proof, the upper bounds of fixed-time for tending mode and sliding mode are given. Finally, by means of simulation results, especially in the CS of the memristor oscillator, we demonstrate the excellent convergence and robustness of the FTSMC strategy in dealing with the synchronization problems of the CSs, and the practical value of FTSMC strategy in DNA encoding-based chaotic image encryption is also verified.(c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.