Since the 21st century,the switching power supply,as an energy-efficient power supply,has been developing in the direction of integration,modularization and high frequency,which has enhanced the reliability of power supply systems.At the same time,switching power supply has small size,light weight and high efficiency,therefore,gradually replace the past linear converter.In the field of new energy,computers,information transmission and home appliance control have a large number of applications.Due to the existence of switching devices in the converter,there are continuous and discrete operating states in the actual operation,which is a typical nonlinear system(hybrid system).Traditional modeling and controller design are analyzed by linearizing the system,so the controller designed by this method is generally better only around the operating point,and the performance will be greatly reduced when the parameters of the system change in a wide range.Because the DC-DC converter is a switching system in the hybrid system,the modeling and controller design of the converter through the hybrid system theory can not only reflect the real working characteristics of the converter very closely,but also can adapt to the wide range of system parameters.In this paper,we will take Boost converter as an example,and discuss how to better control the system in continuous state through the theoretical analysis of hybrid system.The research focus of this paper covers several aspects,mainly including the following:By using the circuit topology and operating mode of the Boost converter,an ideal system model is constructed.Subsequently,based on this model,a switching system model considering device parasitic parameters and input voltage uncertainty is established,in order to find the best switching law in the entire domain and enable the system to reach the optimal state in the "switching balance point".On the basis of this model,combined with the stability of Lyapunov function,Convex combination and Linear matrix inequality theory,the switching rules that meet the conditions are obtained to ensure that the output of the system can better track the reference value.At the end of the paper,the simulation is verified by Matlab/Simulink,and the experimental platform is built according to the model to experimentally verify the proposed theory and compare with other methods.The results show that the proposed controller not only has a good tracking speed,but also can recover the output voltage faster when the load and input voltage change abruptly. |