Research On Chaos Synchronization Control Of Fractional-order Motor Systems

Permanent Magnet Synchronous Motor(PMSM)and Synchronous Reluctance Machine(SynRM),as typical electric drive systems have many advantages such as multivariable systems and simple structure.They are widely used in industrial and agricultural production,communications,medical equipment and other fields.But PMSM and SynRM will exhibit chaotic behavior under specific operating conditions and parameters,thus affecting stable working state and running performance of the motor drive system.With the development of science and technology,there are more and more chaotic synchronization control methods for integer-order motor systems,the control effect is getting better and better at the same time.The main research direction of scholars at home and abroad has gradually begun to shift to the research of chaotic synchronization control methods for fractional-order motor systems.In fractional-order motor systems,as the order of the system changes,the complexity of the motor system also increasesed,and the corresponding chaotic behavior is more difficult to control.It brings more challenges to the stable and synchronous operation of the motor system,the design of the controller is more complicated,and more theoretical methods are used.Therefore,the chaotic synchronization control of fractional-order motors has a wider application range.Such research had important theoretical guiding significance and application reference value for many fields.The controllers had been designed to use Q-S synchronization control method,generalized synchronization control method,and projection synchronization control method,which related theories of fractional order.It has been realized the chaos control and synchronization of the fractional PMSM and the fractional SynRM,taking the fractional PMSM and the fractional SynRM as the research object in this paper.The specific arrangement of this paper is as follows:Firstly,Established a mathematical model of the motor.Taking PMSM and SynRM as research objects,models of integer order PMSM and SynRM systems had been established.According to the concept of fractional-order differentiation,the established integer-order models of PMSM and SynRM systems had been transformed to obtain fractional-order PMSM models and fractional-order SynRM models.The specific conditions of chaos and bifurcation had been analyzed,the threshold parameters were determined,the judgment method for the stability of fractional-order motor systems were described.Secondly,Research on Q-S chaos synchronization control of integer-order motor and fractional-order motor system.The motor system had adopted the Q-S synchronization method to design the synchronous controller.It had been analyzed and proved that the Q-S synchronization method could enable the selected drive and response systems to achieve chaotic synchronization.According to the characteristics of the Q-S synchronization method,experiment on two cases,the error system and the motor system had the same dimensions or different dimensions.Then,it was verified that the chaotic synchronization of the motor system can be achieved in both cases through data simulation.The research results are of great significance to the multi-dimensional synchronous control of fractional-order motor systems.Thirdly,Research on generalized synchronous control of fractional-order motors.Combining the generalized synchronization method to design the generalized synchronization controller for the fractional order system.The feasibility of the generalized synchronization method had been proven through the fractional stability theory.The generalized synchronization controller was used to synchronize the chaotic behavior of the fractional PMSM system and the fractional SynRM system with the same order.The effectiveness of the generalized synchronization method controller was verified by data simulation.The generalized synchronous control method requires shorter control time and simpler controller design.Fourthly,Research on hybrid projection synchronous control of fractional-order motor.The synchronization problem of fractional-order PMSM with different orders was studied.A hybrid projection synchronization controller was designed according to the stability of the fractional-order system and the characteristics of PMSM.This controller had achieved chaotic synchronization control for the fractional-order PMSM system.The effectiveness of the generalized synchronization method controller was verified by data simulation.The research results provide an effective control method for the chaotic synchronization of fractional PMSM.Compared with other methods,hybrid projection synchronization realizes the synchronous control of fractional-order motor systems with different orders.