东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2013, Vol. 34 ›› Issue (10): 1369-1373.DOI: -

• 信息与控制 •    下一篇

直流变换器的区域极点配置鲁棒PID控制算法

贤燕华，冯久超   

  1. (华南理工大学电子与信息学院，广东广州510641)
  • 收稿日期:2013-01-15 修回日期:2013-01-15 出版日期:2013-10-15 发布日期:2013-05-24
  • 通讯作者: 贤燕华
  • 作者简介:贤燕华(1978-)，女，广西柳州人，华南理工大学博士研究生，广西师范大学讲师；冯久超(1964-)，男，四川南充人，华南理工大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(60872123)；国家-广东省自然科学基金联合基金资助项目(U0835001).

Regional Pole Assignment Robust PID Control Algorithm for DCDC Converter

XIAN Yanhua， FENG Jiuchao   

  1. School of Electronic and Information Engineering， South China University of Technology， Guangzhou 510641， China.
  • Received:2013-01-15 Revised:2013-01-15 Online:2013-10-15 Published:2013-05-24
  • Contact: XIAN Yanhua
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摘要： 为提高直流变换器对干扰及不确定因素的鲁棒性，提出了一种基于线性矩阵不等式(LMI)的鲁棒PID控制器算法.PID控制器的参数应用区域极点配置(RPA)的方法来整定.考虑受控系统需对干扰具有鲁棒性，将PID控制和H∞控制相结合，以LMI形式给出H∞PID控制器的可解性条件.设计的控制器使得闭环系统满足闭环极点分布在指定区域内以获得期望的动态特性，以及对外部噪声的抑制具有最大H∞鲁棒性能界.此外，该控制器设计方法也可应用于参数不确定的多胞型直流变换器系统.Buck变换器的确定和不确定系统的仿真实验验证了该控制算法的正确性和有效性.

关键词: PID控制, 区域极点配置(RPA), H∞控制, 线性矩阵不等式(LMI), 直流变换器

Abstract: In order to improve the robustness of DCDC converters with disturbances and uncertainties， a robust PID control algorithm was proposed on the basis of the linear matrix inequality (LMI). The PID parameters were tuned by the regional pole assignment(RPA). Taking into account the controlled system robustness against disturbances， the H∞ control was combined with PID control， and solvability condition for the existence of H∞ PID controller was derived in the form of LMI. The designed controller is such that the closedloop system poles are assigned in a specific region in order to obtain anticipant dynamical characteristics， and the closedloop system has an H∞ disturbance attenuation upper bound. Further， the proposed design method can be applied to the DCDC converters with polytopic uncertain parameters. The simulation results of both certain model and uncertain model of buck converters demonstrated the validity and effectiveness of the proposed control strategy.

Key words: PID control, regional pole assignment(RPA), H∞ control, linear matrix inequality(LMI), DCDC converter

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