Robust fault-sensitive synchronization of a class of nonlinear systems

Aiming at enhancing the quality as well as there liability of synchronization, this paper is concerned with the fault detection issue within the synchronization process for a class of nonlinear systems in the existence of external disturbances. To handle such problems, the concept of robust fault-sensitive (RFS) synchronization is proposed, and a method of determining such a kind of synchronization is developed. Under the framework of RFS synchronization, the master and the slave systems are robustly synchronized, and at the same time, sensitive to possible faults basedon a mixed H-/H-infinity performance. The design of desired output feedback controller is realized by solving a linearmatrix inequality, and the fault sensitivity H index can be optimized via a convex optimization algorithm. A master-slave configuration composed of identical Chua's circuits is adopted as a numerical example to demonstrate the erectiveness and applicability of the analytical results.