Abstract
Abstract In this paper, we have assumed that the parameters of a seven-dimensional hyperchaotic system are uncertain and only the output variables are available for feedback (partial-state feedback). Exploring ISS (Input-to-State Stability) properties of the system, an upper bound for the norm of the unmeasured state vector is developed from the system outputs. Such a norm estimate provided by cascade norm observers is applied to obtain the output-feedback sliding mode control law. Based on Lyapunov’s stability theory, it was possible to guarantee that the proposed controller is able to globally synchronize the considered hyperchaotic system, i.e., the initial conditions can be arbitrary. Simulation results illustrate the fast synchronization of the master-slave chaotic oscillators and their application to a secure communication system using a equivalent control strategy, which improves the privacy of the proposed scheme. The developed methods can be applied to cover other classes of chaotic and hyperchaotic systems which possess ISS-like features as well.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
