引用本文:黄灿,桂卫华,阳春华,蒋朝辉,谢永芳.多变量时滞过程解耦Smith控制[J].控制理论与应用,2010,27(10):1393~1398.[点击复制]
HUANG Can,GUI Wei-hua,YANG Chun-hua,JIANG Zhao-hui,XIE Yong-fang.Decoupling Smith control for multivariable system with time-delays[J].Control Theory and Technology,2010,27(10):1393~1398.[点击复制]
多变量时滞过程解耦Smith控制
Decoupling Smith control for multivariable system with time-delays
摘要点击 1878  全文点击 1605  投稿时间:2009-07-01  修订日期:2010-05-06
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DOI编号  10.7641/j.issn.1000-8152.2010.10.CCTA090861
  2010,27(10):1393-1398
中文关键词  多输入多输出过程  时滞  解耦  Smith控制  鲁棒稳定性
英文关键词  MIMO system  time-delay  decoupling  Smith predictor  robust stability
基金项目  国家自然科学基金资助项目(60634020, 61074117); 新世纪优秀人才支持计划资助项目(NCET–07–0867).
作者单位E-mail
黄灿* 中南大学 信息科学与工程学院 cancan17@sina.com.cn 
桂卫华 中南大学 信息科学与工程学院  
阳春华 中南大学 信息科学与工程学院  
蒋朝辉 中南大学 信息科学与工程学院  
谢永芳 中南大学 信息科学与工程学院  
中文摘要
      针对实际工业生产中常见的多输入多输出时滞过程, 构造多变量Smith预估控制结构, 提出基于对象模型伴随矩阵的解耦器设计方法. 通过对解耦后对象的幅频和相频特性分析, 获得对象的简化一阶数学模型. 根据Smith预估控制结构闭环特征方程的特点, 利用Butterworth滤波器极点配置的原理, 对解耦后的多变量时滞过程设计PI控制器. 结合实际过程中常见的不确定性, 分析了控制系统保证鲁棒稳定性的充要条件. 最后以实例验证了 本文所提方法的优越性.
英文摘要
      The decoupling Smith control method is presented for multi-input-multi-output system with time-delays which are often encountered in practical engineering. A new method for designing the decoupler based on the adjoint matrix of the multivariable system model with time-delays is proposed. By analyzing the amplitude-frequency and phasefrequency characteristics of the decoupled model, the decoupled model is reduced to a first-order model with time-delay. According to the closed-loop characteristic equation of Smith predictor structure, a PI controller is developed by using the principle of pole assignment for Butterworth filter. Sufficient and necessary conditions for robust stability are derived for adaptive and multiplicative uncertainties commonly occurred in practice. Simulation results show the superiority of the proposed method.