Fault-tolerant dissipative synchronization for chaotic systems based on fuzzy mixed delayed feedback

This paper deals with the problem of fault-tolerant dissipativity-based synchronization for chaotic systems. A new synchronization strategy, namely a mixed fuzzy delayed feedback dissipativity-based synchronization strategy, is proposed for chaotic systems with external disturbance. The aim is to design a mixed fuzzy delayed feedback controller such that the synchronization error system is dissipative. Using Lyapunov functional approach, a sufficient condition for the existence of admissible controller is presented. Finally, a practical example is provided to demonstrate the effectiveness of the proposed approach.