| 二阶时滞系统PI控制器稳定参数集快速算法 |
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| 引用本文： | 刘艳 李银伢 盛安冬. 二阶时滞系统PI控制器稳定参数集快速算法[J]. 南京师范大学学报, 2004, 4(4): 5-8 |
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| 作者姓名： | 刘艳 李银伢 盛安冬 |
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| 作者单位： | [1]盐城师范学院物理系，江苏盐城224002／／南京理工大学自动化系，江苏南京210094 [2]南京理工大学自动化系，江苏南京210094 |
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| 基金项目： | 国防科工委“十五”预研兵器支撑基金资助项目 (BZJ0 40 2 6) . |
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| 摘 要： | PID控制是自动控制中应用最广泛的一种控制方法．针对工业控制过程中普遍存在的二阶时滞系统，通过在kp-ki平面上绘制稳定边界线，给出了快速计算PI控制器所有稳定参数集的方法，并且给出了系统开环不稳定情形下稳定PI控制器的存在必要性条件．通过在该稳定参数区域上进行性能指标寻优，可以得到满意控制器设计性能指标要求的PI控制器参数区域．仿真实例表明了该方法的优越性，为控制系统的控制器设计提供了一个简单高效的设计方法。
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| 关 键 词： | 时滞系统 稳定性 PI控制 |
| 文章编号： | 1672-1292-(2004)04-0005-04 |
| 修稿时间： | 2004-06-05 |
Fast Calculation of all Stabilizing PI Controllers for Second-Order Time-Delay Systems |
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| LIU Yan ,,LI Yinya,SHENG Andong. Fast Calculation of all Stabilizing PI Controllers for Second-Order Time-Delay Systems[J]. Journal of Nanjing Nor Univ: Eng and Technol, 2004, 4(4): 5-8 |
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| Authors: | LIU Yan LI Yinya SHENG Andong |
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| Affiliation: | LIU Yan 1,2,LI Yinya2,SHENG Andong2 |
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| Abstract: | PID control is the most common control method used in automatic control. Aiming at the second-order time-delay systems of industrial process control, a method for the fast calculation of all stable PI controllers via plotting stability boundary locus in k p-k i is presented. Moreover, the necessary conditions are proposed for the existence of a PI controller to simultaneously stabilize the second-order time-delay systems that are open-loop unstable. Furthermore, the set of PI controllers satisfied with the performance specifications requirements of a controller design is easily to work out via searching on the stabilizing region. An example is given to show the effectiveness of the method presented and the paper provides a simple and effedive method for controllers design. |
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| Keywords: | time-delay system stabilization PI control |
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