Robust fault-tolerant full-order and reduced-order observer synchronization for differential inclusion chaotic systems with unknown disturbances and parameters

摘要

Within the drive-response configuration, this paper deals with the problem of fault-tolerant full-order and reduced-order observer synchronization for differential inclusion chaotic systems with unknown disturbances and parameters. Even if there are unknown disturbances and parameters in the drive system, a robust fault-tolerant adaptive full-order observer can be used to realize chaos synchronization with the response system for some assumptions whether or not fault occurs. What's more, a reduced-order observer differential inclusion response system which can synchronize part states of the drive system is developed for the same assumptions. Finally, some numerical simulations for Lorenz chaotic systems with differential inclusion are designed and the simulation results are analyzed in detail.