Finite-time control and synchronization of a class of systems via the twisting controller

Abstract

This paper considers the stabilization and synchronization problems of a class of chaotic systems with model uncertainty. We propose a new twisting controller to control and synchronize the chaotic systems with model uncertainty. Some novel criteria for the finite-time control and synchronization of a class of chaotic systems are proposed via the Lyapunov stability theorem. The presented criteria are given in the form of linear inequalities which are simple and easy to be verified. Finally, the Genesio-Tesi chaotic system is taken as an example to demonstrate the effectiveness of the proposed schemes.