This chapter intends to tackle the problem of finite-time projective synchronization of variable-order fractional (VOF) chaotic systems through the sliding mode control (SMC) method. First, for the VOF unperturbed chaotic systems, novel VOF integral- and derivative-type sliding surfaces are designed with the aid of VOF calculus. These surfaces play a crucial role in the control strategy by facilitating the management of system dynamics. Second, VOF control strategies are proposed, relying on the corresponding sliding surfaces to ensure that the projective error systems are asymptotically stable in finite time. Furthermore, by utilizing two transformations of VOF calculus, a novel finite-time stability criterion is also obtained, providing an upper bound of reaching time. This criterion is essential for predicting the system's behavior and ensuring timely synchronization. Finally, a numerical study is conducted to illustrate the superiority of the proposed method, demonstrating its effectiveness and practical applicability in achieving finite-time synchronization in VOF chaotic systems.
Discussion(0)
No comments yet. Be the first to comment.