anti-synchronization of complex chaotic t-system via optimal adaptive sliding-mode and its application in secure communication

In this paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. we use hyperchaotic complex t-system for master and slave systems with unknown parameters in the slave system. to construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. then, the optimal adaptive sliding mode controller is derived to guarantee the occurrence of the sliding motion. also, suitable update laws are designed to estimate the unknown parameters. the optimality and stability of the proposed method are proved using hamilton-jacobi-bellman(hjb) technique and barbalates lemma, respectively. finally, anti- synchronization result is applied to secure communication via masking method. numerical simulations illustrate the ability and effectiveness of proposed method.