Text message secure communication based on fractional-order chaotic systems with Takagi–Sugeno fuzzy disturbance observer and sliding mode control

This paper proposes a fixed-time stability (FTS) disturbance observer based-on an adaptive sliding mode control for the secure communication of chaos-based system. Firstly, the factional-order chaotic system need to be modeled into the Takagi–Sugeno fuzzy format. Secondly, the master and slave systems (MSSs) are synchronized based on an adaptive sliding mode controller. Thirdly, to reject the attack signals on public channels and uncertain values of both MSSs, the fixed-time DOB is proposed to obtain the goal. Next, the stability of the propped method is theoretically verified by using Lyapunov condition. Fourthly, the power and correctness of the proposed method has been validated by the simulation with the success of data transmission of the text message. The given results are good to state that the proposed method is good for synchronizing MSSs and rejecting perturbations on both systems and public channels. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.