| 多变量系统分散PID控制器设计 |
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| 引用本文： | 吴国垣,李东海,薛亚丽,唐多元.多变量系统分散PID控制器设计[J].清华大学学报(自然科学版),2004,44(11):1567-1570. |
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| 作者姓名： | 吴国垣 李东海 薛亚丽 唐多元 |
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| 作者单位： | 清华大学,热能工程系,北京,100084 |
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| 基金项目： | 教育部留学回国人员启动基金资助项目，清华大学亚洲研究中心青年基金资助项目 |
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| 摘 要： | 为进一步改进分散PID控制系统的性能,提出一种基于极限点求解的整定方法。首先,在对角优势系统Nyquist稳定性判据的基础上,推导了多变量系统对角元素的Gersh-gorin圆族的包络线方程,并获得其与负实轴交点的解析表达式,从而求解各回路的极限增益和极限频率的近似值,再利用修正的Z-N(MZN)整定公式或Tyreus-Luyben(T-L)整定公式,设计多变量系统的PID控制器。设计实例的仿真表明,所设计的控制系统具有较小的超调量和较强的抑制回路间扰动的能力,并具有良好的性能鲁棒性。
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| 关 键 词： | PID控制器 多变量系统 Gershgorin带 |
| 文章编号： | 1000-0054(2004)11-1567-04 |
| 修稿时间： | 2004年1月13日 |
Decentralized PID controllers for multivariable systems |
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| WU Guoyuan,LI Donghai,XUE Yali,TANG Duoyuan.Decentralized PID controllers for multivariable systems[J].Journal of Tsinghua University(Science and Technology),2004,44(11):1567-1570. |
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| Authors: | WU Guoyuan LI Donghai XUE Yali TANG Duoyuan |
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| Institution: | WU Guoyuan,LI Donghai,XUE Yali,TANG DuoyuanDepartment of Thermal Engineering,Tsinghua University,Beijing 100084,China |
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| Abstract: | To improve the performance of decentralized PID controllers, a tuning method was proposed based on ultimate points calculation. First, Nyquist stability analysis and diagonal dominance were used to develop the equations describing the envelope of Gershgorin discs for diagonal elements in multivariable systems. The ultimate frequency and ultimate gain can be obtained from the intersections of the envelope of the Gershgorin discs and the negative part of the real axis. Thus, simple and decentralized PID controllers can be designed for multivariable systems using modified Z-N MZN formula or Tyreus-Luyben T-L formula. Simulations illustrate that the proposed system has smaller overshoots and better cross-coupling rejection, and also good performance robustness. |
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| Keywords: | PID controller multivariable system Gershgorin bands |
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