A new fast-terminal sliding mode control for synchronisation between two new nonidentical chaotic systems and its comparison

Two new chaotic systems are developed, one of these is a two-wing chaotic system, and another one is a multiwing chaotic system. The synchronisation between these two nonidentical chaotic systems is achieved using a new fast-terminal sliding mode controller. With the help of the new fast-terminal sliding mode controller, the states of the slave system are controlled to follow the states of the master system. The convergence of error dynamics is also checked in the presence of disturbances. Further, the results of the new fast-terminal SMC are compared with two other variants of sliding mode controllers and the better performance of the proposed fast-terminal sliding mode controller, in terms of convergence time, is observed.