Fast Speed Convergent Stability of T-S Fuzzy Sliding-Mode Control and Disturbance Observer for a Secure Communication of Chaos-Based System

This article presents the fast convergent stability of disturbance observer (DO) and sliding mode control (SMC) for a secure communication fractional-order chaotic-based system. First, is remodeled into Takagi-Sugeno fuzzy (TSF) system with aim softening calculations controller design. Second, master slave systems (MSSs) were synchronized by (FCS) double phases same condition. Third, was newly proposed estimating uncertainty (SCS). Fourth, method archived via Lyapunov The MATLAB simulation support FOMCON tool box used to validate correction theory. obtained results such as small tracking errors settling-times confirm that theory good at rejecting perturbations synchronizing chaotic systems.