{"title":"基于鲁棒参数控制理论的电压电流模控DC-DC变换器控制回路敏感性研究","authors":"Gabriel Garcerh, Pablo Carbonell, Antonio Abell","doi":"10.1109/ISIE.1999.798682","DOIUrl":null,"url":null,"abstract":"Robust parametric control theory is a powerful tool for the research of the robustness of linear control systems against simultaneous changes in the parameters that define the plant and controller transfer functions. The purpose of this paper is to show how those techniques can be applied to the sensibility study of voltage mode and current node controlled DC-DC converters with respect to simultaneous variations (or tolerances) of all the parameters of the power stage: line voltage, load and passive elements of the power stage (I, C, R/sub c/...). After obtaining the small-signal linear model of the voltage or current mode controlled power stage, it is possible to represent the power stage transfer function as a linear interval plant, and to predict, once a regulator has been designed, the worst case bandwidth and stability margins of the converter control loop with all values of the power stage components varying simultaneously inside known and closed intervals, i.e., with any combination of those values. In fact, envelopes of the open and closed loop dynamic performance of the system can be obtained, in form of Bode and Nyquist plots envelopes. In this work, the robust parametric study of a buck converter under voltage and current mode (current injected control or CIC) control is shown, with the theoretical Bode and Nyquist envelopes obtained with MATLAB/sup TM/ software.","PeriodicalId":227402,"journal":{"name":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Sensibility study of the control loops of voltage and current mode controlled DC-DC converters by means of robust parametric control theory\",\"authors\":\"Gabriel Garcerh, Pablo Carbonell, Antonio Abell\",\"doi\":\"10.1109/ISIE.1999.798682\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Robust parametric control theory is a powerful tool for the research of the robustness of linear control systems against simultaneous changes in the parameters that define the plant and controller transfer functions. The purpose of this paper is to show how those techniques can be applied to the sensibility study of voltage mode and current node controlled DC-DC converters with respect to simultaneous variations (or tolerances) of all the parameters of the power stage: line voltage, load and passive elements of the power stage (I, C, R/sub c/...). After obtaining the small-signal linear model of the voltage or current mode controlled power stage, it is possible to represent the power stage transfer function as a linear interval plant, and to predict, once a regulator has been designed, the worst case bandwidth and stability margins of the converter control loop with all values of the power stage components varying simultaneously inside known and closed intervals, i.e., with any combination of those values. In fact, envelopes of the open and closed loop dynamic performance of the system can be obtained, in form of Bode and Nyquist plots envelopes. In this work, the robust parametric study of a buck converter under voltage and current mode (current injected control or CIC) control is shown, with the theoretical Bode and Nyquist envelopes obtained with MATLAB/sup TM/ software.\",\"PeriodicalId\":227402,\"journal\":{\"name\":\"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIE.1999.798682\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIE.1999.798682","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
摘要
鲁棒参数控制理论是研究线性控制系统对定义对象和控制器传递函数的参数同时变化的鲁棒性的有力工具。本文的目的是展示如何将这些技术应用于电压模式和电流节点控制的DC-DC转换器对功率级所有参数的同时变化(或公差)的敏感性研究:线路电压,负载和功率级的无源元件(I, C, R/sub C /…)。在获得电压或电流模式控制的功率级的小信号线性模型后,可以将功率级传递函数表示为线性区间植物,并且一旦设计了调节器,就可以预测变换器控制回路的最坏情况带宽和稳定裕度,功率级组件的所有值在已知和封闭区间内同时变化,即这些值的任何组合。实际上,系统开闭环动态性能的包络可以用Bode和Nyquist图包络的形式求得。本文利用MATLAB/sup TM/软件得到的理论波德包络和奈奎斯特包络,对电压和电流模式(电流注入控制或CIC)下的降压变换器进行了鲁棒参数化研究。
Sensibility study of the control loops of voltage and current mode controlled DC-DC converters by means of robust parametric control theory
Robust parametric control theory is a powerful tool for the research of the robustness of linear control systems against simultaneous changes in the parameters that define the plant and controller transfer functions. The purpose of this paper is to show how those techniques can be applied to the sensibility study of voltage mode and current node controlled DC-DC converters with respect to simultaneous variations (or tolerances) of all the parameters of the power stage: line voltage, load and passive elements of the power stage (I, C, R/sub c/...). After obtaining the small-signal linear model of the voltage or current mode controlled power stage, it is possible to represent the power stage transfer function as a linear interval plant, and to predict, once a regulator has been designed, the worst case bandwidth and stability margins of the converter control loop with all values of the power stage components varying simultaneously inside known and closed intervals, i.e., with any combination of those values. In fact, envelopes of the open and closed loop dynamic performance of the system can be obtained, in form of Bode and Nyquist plots envelopes. In this work, the robust parametric study of a buck converter under voltage and current mode (current injected control or CIC) control is shown, with the theoretical Bode and Nyquist envelopes obtained with MATLAB/sup TM/ software.