Research On Robust Adaptive Control Of Chaotic System And Its Application

The 21 st century is an era of rapid development of high technology.As an extremely challenging subject in the non-linear field,chaos has the characteristics of sensitivity,pseudo-randomness and noise-like and so on.It has a wide range of application value in the forefront field of information processing,safety communications and automation control.At the present stage,there is still no perfect chaos control theory.The research on chaos synchronization control still needs to be improved constantly.Most research on chaos synchronization control is only for chaotic motion control.There is no chaos phenomenon combined with the actual application system and the problems that may occur in reality.The theoretical results of the study are deficient.Therefore,to achieve high-quality synchronization control of chaos and its application research in practical application system has become the research goal of this object.The specific research work of this paper is as follows:1.By introducing the development process of chaos and chaos synchronization,this paper comprehensively elaborates the current research status of chaos and chaos synchronization at home and abroad.At the same time,the definition of chaos,its basic characteristics and common discriminating methods are given.The basic concepts of chaos synchronization,common types and characteristic indexes of chaos synchronization are introduced in detail.2.Taking two chaotic systems with unknown model parameters,external disturbances and nonlinear inputs as research objects,the controller is designed to shorten convergence time,and cleverly processes the nonlinear input linearly in this paper.The sliding model control strategy has the advantage of good robustness.So a reasonable sliding mode controller is designed to realize the sustainable tracking of the state trajectory of the driving system approaching the state trajectory of the response system in a short time,which is more in line with the actual engineering application requirements.3.Taking permanent magnet synchronous motor as an example,the synchronization control of uncertain chaotic system in permanent magnet synchronous motor is discussed in detail.A finite time adaptive sliding mode control algorithm is designed.The algorithm is proved to be effective by theoretical derivation and simulation.The control algorithm suppresses the generation of chaotic attractors in the PMSM system effectively and adjusts the input and output of the PMSM flexibly to ensure that the PMSM system has good robustness against uncertainties and external disturbances based on the normal operation of the PMSM.4.Taking the uncertain chaotic system existing in Chua's circuit system as the research object,a robust adaptive fault-tolerant controller is designed to isolate the faulty actuator effectively and avoid the fault-tolerant control from losing effectiveness when the fault-detecting isolation subsystem provides error information.Therefore,no matter whether the system failure occurs,both systems can realize the synchronization control effectively and quickly and improve the reliability of the chaotic synchronization in practical applications...