With Both Model Uncertainties And External Disturbances Control Of Chaotic Systems

Chaotic motion is a very important research field in dynamic systems.At present,more and more scholars have devoted themselves to the study of chaotic systems.However,with the deepening of research,some problems have gradually emerged.Most of the current research is done under ideal conditions,but in actual production activities,the system is more or less disturbed.It should also be pointed out that research on this problem often assumes that the disturbance is bounded and gives a small margin,and in practice the disturbance to the system can be large.Therefore,research on this aspect still needs further discussion.This paper mainly studies the control problem of chaotic systems with model uncertainty and external disturbances:the stabilization,hybrid synchronization and projection synchronization problems of the chaotic systems.The hybrid synchronization includes synchronization,anti-synchronization,coexistence of synchronization and anti-synchronization.This paper improves the adaptive control method and proposes an universal control method to realize such hybrid synchronization problems.And first introduces the concept of chaos and the status quo of research.Next,the adaptive control method and the control method based on model uncertainty and external disturbance estimation(UDE)are introduced.Then combine them to get a new method: adaptive UDE control method.Finally,the stabilization,hybrid synchronization and projection synchronization of chaotic systems with disturbances and uncertainties are studied.The numerical simulation results verify the validity and accuracy of the above theoretical results.