Adaptive controller with fixed-time convergence for combination synchronisation of multiple master and slave chaotic systems

Abstract

This paper mainly studies the fixed-time combination synchronization between different multiple chaotic systems using adaptive control. Asymptotic chaos combination synchronization has previously been considered, but the fixed-time combination synchronisation of multiple chaotic systems in the presence of uncertain parameters, it is the first of its kind. The fixed time control and adaptive control algorithms are successfully included to realize the combination synchronization between different multiple chaotic systems. Among the advantages of the proposed scheme is the possibility of realizing synchronization between almost all different chaotic and even hyper-chaotic systems in a short fixed time. According to the Lyapunov theory, and fixed time laws, the uncertain parameters are estimated and the settling time is calculated. Numerical simulation results are presented to prove the effectiveness of the proposed scheme.