Fractional Order Modeling And Control Of BLDCM

Fractional order calculus(FOC)is a method to extend the traditional integral calculus to fractional order calculus.With the rapid development of computer technology,the factors restricting the development of fractional order calculus have become smaller and smaller,and the application of fractional order calculus theory in various fields has been studied on a large scale.In the field of control,fractional order calculus can build a more accurate object model for motion control system,design a controller with better performance,and make the system get better performance.In this paper,fractional order calculus theory is used to study system modeling and control device design.In terms of system modeling,according to the composition mechanism of BLDCM and the research results of others,a new fractional order modeling method for BLDCM is proposed,which is simple and easy to realize.On the basis of traditional modeling method based on mechanism,fractional order calculus is introduced to improve.Based on the experimental data,the output error identification algorithm is used to estimate the order of fractional order model.The design and verification experiments were carried out with the traditional model and fractional order model as the objects,and the speed control simulation and experimental research were carried out under different conditions,and the differences between the simulation results and experimental results of the two models were compared.Comparing the simulation results of fractional order model and integer order model under different experimental conditions shows that fractional order model can simulate the behavior of BLDCM more accurately than integer order model.In terms of controller design,firstly,design genetic algorithm optimization of fractional order PI~?D~?controller.Due to the complexity of fractional order BLDCM model,the dynamic response performance of the system using fractional order PI~?D~?speed controller is investigated by using genetic algorithm to set fractional order PI~?D~?parameters,and through motor speed control simulation and experimental research.Fractional order PI~?D~?controllers give the system better control performance and better resistance to load disturbances than systems with integer order PID controllers.Secondly,a fractional order sliding mode controller is designed to try to solve the problems such as strong chattering in the traditional exponential approach law of sliding mode control(SMC).Design of Fractional order sliding mode surface,the second item in the retention index,on the basis of combining the theory of Fractional order calculus,and design a Fractional order exponential reaching law(FOERL),the final will be a combination of these,the Fractional order sliding mode controller is designed.The experimental results show that fractional order synovium variable structure control has better stability and anti-interference than traditional sliding mode control,and improves the robustness of the system while weakening chattering.