Design of a sliding mode controller for synchronizing chaotic systems with parameter and model uncertainties and external disturbances

作者：Aghababa Mohammad Pourmahmood; Feizi Hassan^*

来源：Transactions of the Institute of Measurement and Control, 2012, 34(8): 990-997.

DOI：10.1177/0142331211434657

• Chaos synchronization
• finite-time convergence
• Lyapunov stability
• non-singular sliding mode
• uncertain chaotic system

Finite-time synchronization of two different uncertain chaotic systems using a new non-singular terminal sliding mode approach is studied in this paper. Both master and slave systems are perturbed by parameter and model uncertainties, as well as external disturbances. A novel non-singular terminal sliding manifold is introduced. Based on the Lyapunov stability theory and finite-time control idea, a robust sliding mode controller is designed. It is shown that both reaching and sliding phases have the finite-time convergence property. In other words, it is proved that the state trajectories of the slave system can reach the state trajectories of the master system in a given finite time. The robustness and applicability of the proposed technique are demonstrated by two illustrative examples.

• 出版日期2012-12