Guaranteed Cost Control Of Sliding Mode Control System For Boost Converter

Boost converter that is a commonly used DC boost equipment has been widely used in electronics,computer,aerospace and other fields,the transformation of electrical energy quality is always facing the power electronics industry and the problems to be solved.Because the Boost converter is a typical nonlinear time-varying system,the modeling,stability and output voltage performance of the nonideal components are the focus and difficulty of the control field.This topic is based on the robust robustness of Sliding Mode Control,and the application of Boost converter is studied from two aspects of circuit modeling and control methods:Firstly,the design of sliding mode control system for the ideal Boost converter is studied.Based on the unified differential equation model of the ideal Boost converter,the design methods of the linear sliding mode and the terminal sliding mode controller are given.Aiming at the problem of nonminimum phase Boost converter,a novel energy storage function model of terminal sliding mode control method based on the sliding mode stability conditions derived from the control system is proposed,and its performance is compared with traditional linear sliding mode control method under disturbances.Secondly,considering the actual real parasitic parameters of Boost converter circuit components,and the current ripple performance index,meanwhile,considering the inductor current continuous and discontinuous two circuit work modes,transient analysis of circuit characteristics,combined with the three terminal switching method,the average time of the equivalent circuit method,the energy conservation law,the establishment of an ideal transformer model Boost converter,improve the modeling accuracy of existing Boost converter.Using circuit scanning method,analysis of the circuit parasitic parameters effect on the characteristics of the start-up,steady state ripple performance;push continuous / discontinuous boundary derived circuit state in the frequency domain,based on the output voltage control input(duty cycle)of the transfer function,establish the quantitative influence of different parameters on the circuit parasitic system of high frequency and low frequency performance.Finally,for the transient and steady-state performance of Boost converter,the guaranteed cost and transient performance control are studied respectively.Boost converter is a typical switching control system for controlling the transient performance,the guaranteed cost control theory based on switched affine system,using the method of Lyapunov function,to meet the multi switch tube switching subsystem stable premise and the guaranteed cost performance under the construction of auxiliary function set,the equilibrium point of the system tracking error switch the state of the global asymptotic convergence to the desired.In view of the transient performance of Boost converter,here to overshoot and adjustment time as the performance index,the design of linear sliding mode and sliding mode switch Backstepping two controller,realize the quantitative transient performance control system security control,fast response and no overshoot.