Sliding mode and active disturbance rejection compound synchronization for Hindmarsh-Rose neural networks

In this paper, the synchronization of Hindmarsh-Rose (HR) neural networks is considered. In order to overcome chattering problem, the major drawback of sliding mode control, linear active disturbance rejection control (LADRC) is employed. Extended state observer, key part of LADRC, is able to estimate and compensate disturbances in real time, which can suppress the chattering of sliding mode control successfully. Sliding mode and LADRC compound synchronization approach is capable of achieving the synchronization of HR neural networks in according to synchronization errors, which guarantee good performance of synchronization. Numerical simulation results are given to confirm the compound synchronization approach.