分数阶Buck变换器的最优PI~λD~μ控制  

Optional control of PI~λD~μ control based on fractional order Buck converter

作　　者：蓝会立 周晓华 罗文广[1,2] Lan Huili;Zhou Xiaohua;Luo Wenguang(College of Electrical and Information Engineering,Guangxi University of Science and Technology,Liuzhou 545006,Guangxi,China;Guangxi Key Laboratory of Automobile Components and Vehicle technology,Guangxi University of Science and Technology,Liuzhou 545006,Guangxi,China)

机构地区：[1]广西科技大学电气与信息工程学院,广西柳州545006 [2]广西科技大学广西汽车零部件与整车技术重点实验室,广西柳州545006

出　　处：《电测与仪表》2019年第16期134-141,共8页Electrical Measurement & Instrumentation

基　　金：国家自然科学基金资助项目(61563006);广西高校中青年教师基础能力提升项目(2017KY0355);广西汽车零部件与整车技术重点实验室自主研究课题(15-A-02-01)

摘　　要：利用分数阶微积分理论建立Buck变换器的分数阶数学模型和分数阶状态平均模型,研究分数阶Buck变换器的电感分数阶次α、电容分数阶次β对其频域特性的影响。基于Buck变换器的分数阶模型,提出分数阶PI^λD^μ控制方法,构建基于电压型控制的分数阶Buck变换器反馈控制系统,利用遗传算法对分数阶PI^λD^μ控制器参数进行优化整定以获取系统最优控制性能,仿真实验结果表明系统在输入电压扰动、负载扰动下均获得良好的动态、稳态性能,对反馈控制系统参考电压扰动有良好的跟随性能,该方法可以改善分数阶Buck变换器系统的综合控制性能,提高系统的控制鲁棒性。This paper proposes the theory and application of a new designing method of the fractional order PID (FOPID) controller for fractional order Buck converter.Firstly,the mathematical model and the state averaged model of the fractional order Buck converter are established based on fractional calculus.It is found that the frequency characteristic of the fractional order Buck converter is influenced by the fractional orders α of inductor and the fractional orders β of the capacitor.Secondly,a fractional order PI^λD^μ control method is designed to control fractional order Buck converter in this study.In order to obtain the best system performance,parameters of the proposed controller are turned by using genetic algorithm.The FOPID controlling of system is tested under different operating conditions by changing the load resistor,the input voltage,and the reference voltage values in order to evaluate system performance.The results show that the FOPID controller performs better performance than the classical PID controller in the dynamic response performance and steady-stage error regulating characteristics.And the proposed control strategy for fractional order Buck converter is strongly robust to the disturbance of input voltage.

关 键 词：分数阶Buck变换器 分数阶PI^λD^μ控制 最优控制 遗传算法 

分 类 号：TM93[电气工程—电力电子与电力传动]