| 工业过程多变量系统常规控制结构的频域设计 |
| 许锋, 潘琦, 王一岚, 罗雄麟 |
| 中国石油大学(北京) 自动化系, 北京 102249 |
| Frequency domain design method for decentralized control of multivariable processes |
| XU Feng, PAN Qi, WANG Yilan, LUO Xionglin |
| Department of Automation, China University of Petroleum-Beijing, Beijing 102249, China |
摘要:
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| 摘要多变量常规分散PID (proportional-integral-differential)控制系统设计的首要工作是进行常规控制系统的结构设计,即对被控变量和操纵变量进行配对。该文在相对增益阵的基础上,充分利用过程频域动态信息,提出了一种控制回路配对的频域方法。首先提出相对频率增益的概念,将其定义为特定输入输出通道的开环频率增益和闭环频率增益之比。然后通过在整个频率范围内计算相对频率增益与(1,j0)点的平均距离导出特定输入输出通道的耦合衡量系数。最后基于耦合衡量系数矩阵提出一种控制回路配对准则,应用该准则进行常规控制系统的结构设计。通过实例分析表明:与基于时域信息的相对增益阵及其改进方法相比,本文配对方法不但能获得正确的配对结果,而且简单有效,易于处理纯滞后过程、积分过程和不稳定过程。 | |||
| 关键词 ：多变量系统,分散控制,控制结构设计,耦合分析,频域 | |||
| Abstract：The input-output variable pairing and the control-loop configuration are the first steps in designing a decentralized control configuration for multivariable processes. The relative gain array (RGA) method and improved variations have been widely used for control system designs, but they generally utilize time domain process information that create challenges when dealing with long lag times, integrators, and unstable systems. This work describes a relative frequency gain method as the ratio of the open-loop frequency gain to the close-loop frequency gain. An interaction measurement index is given through averaging the differences between the relative frequency gain and (1, j0) in the full frequency domain. The interaction measurement index array is used to create a new control-loop pairing criterion for the control structure selection. This method makes better use of the dynamic process characteristics than existing methods through frequency domain analysis. The method is simple and effective, with long lag times, integrators, and unstable systems. | |||
| Key words：multivariable systemsdecentralized controlcontrol configuration designinteraction analysisfrequency domain | |||
| 收稿日期: 2015-08-26 出版日期: 2016-05-09 | |||
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| 引用本文: |
| 许锋, 潘琦, 王一岚, 罗雄麟. 工业过程多变量系统常规控制结构的频域设计[J]. 清华大学学报（自然科学版）, 2016, 56(4): 448-452. XU Feng, PAN Qi, WANG Yilan, LUO Xionglin. Frequency domain design method for decentralized control of multivariable processes. Journal of Tsinghua University(Science and Technology), 2016, 56(4): 448-452. |
| 链接本文: |
| http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2016.24.017或 http://jst.tsinghuajournals.com/CN/Y2016/V56/I4/448 |
图表:
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| 图１ 复平面示意图 |
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