物理学报Issue(20)：1-6,6.DOI:10.7498/aps.63.200502
电感电流伪连续模式下分数阶Bo ost变换器的非线性控制
Non-linear control for the fractional boost converter in pseudo continuous conduction mode
摘要
Abstract
Based on the fact that the inductor and the capacitor are of fractional order in nature, the mathematical model of the fractional order boost converter in pseudo continuous conduction mode is established by using the fractional order calculus theory. Due to the affine non-linear nature in this mathematical model and a similar Lyapunov stability theorem of the fractional order system, a fractional order non-linear controller is designed. On the basis of chain fractance and the improved Oustaloup algorithm, the circuit model of fractional order inductor and capacitor are built. The fractional order controller is verified by the Matlab/Simulink software. Simulation results show that the controller enhances the dynamic and steady-state performance, so as to realize the stability and achieve good dynamic performance of the fractional order system during large fluctuation of power supply and load disturbance.关键词
分数阶/Boost变换器/伪连续模式(三态模式)/非线性控制Key words
fractional order/boost converter/pseudo continuous conduction mode (tri-state mode)/non-linear control引用本文复制引用
谭程,梁志珊,张举丘..电感电流伪连续模式下分数阶Bo ost变换器的非线性控制[J].物理学报,2014,(20):1-6,6.基金项目
国家自然科学基金(批准号:51071176)和中国石油大学(北京)前瞻导向基金(批准号:2010QZ03)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.51071176) and the China University of Petroleum (Beijing) Frontier Foundation (Grant No.2010QZ03) （批准号:51071176）
