Chaos Synchronization for a Class of Hyperchaotic Systems Using Active SMC and PI SMC : A Comparative Analysis

In this article, the synchronization problem of hyperchaotic systems is addressed on the basis of active sliding mode control (SMC) and proportional integral (PI) SMC techniques. The stability analysis in the suggested methodologies is derived with the help of Lyapunov stability approach. In the manuscript, a comparative study presenting both above mentioned SMC approaches has been presented. Further, both the SMC techniques have been stretched to analyze secure communication for hyperchaotic systems under consideration. Switching surfaces are constructed using active SMC and PI SMC to achieve the purpose of synchronization. Between both the control techniques, PI switching surface simplifies the operation of synchronization in comparison with active control switching surface. In PI SMC, lesser number of control signals are needed to achieve the desired synchronization. The system parameters have been considered to be known. In a master–slave arrangement, the suggested controllers assure the presence of sliding motion and attain asymptotic synchronization of hyperchaotic systems. Ultimately, numerical simulations are produced to establish and authenticate the suggested controllers’ effectiveness. This paper presents the effectiveness of the two control approaches designed for addressing synchronization problems along with secure communication scheme.