Parameter Estimation and Synchronization of Vaidyanathan Hyperjerk Hyper-Chaotic System via Integral Sliding Mode Control

In this article, an effort has been made to achieve the synchronization and parameter estimation of Vaidyanathan hyperjerk hyper-chaotic dynamical system through integral sliding mode control(ISMC). To apply this control technique, the synchronization error is converted into nominal form and a special form that contains some unknown terms which are computed adaptively. The controller for stabilizing the error system consists of compensation and nominal control. Lyapunov stability equations are used to design the adaptive laws and compensation control. The effectiveness of the technique is displayed via simulation results.