[1]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(工程技术版),2004,04(04):005-8.
　LIU Yan,LI Yinya,et al.Fast Calculation of all Stabilizing PI Controllers for Second-Order Time-Delay Systems[J].Journal of Nanjing Normal University(Engineering and Technology),2004,04(04):005-8.
点击复制

二阶时滞系统PI控制器稳定参数集快速算法
分享到：

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
04卷
期数:
2004年04期
页码:
005-8
栏目:
出版日期:
2004-12-30

文章信息/Info

Title:
Fast Calculation of all Stabilizing PI Controllers for Second-Order Time-Delay Systems
作者:
刘  艳1;  2;  李银伢2;  盛安冬2
1. 盐城师范学院物理系, 江苏盐城224002; 2. 南京理工大学自动化系, 江苏南京210094
Author(s):
LIU Yan 1; 2;  LI Yinya2;  SHENG Andong2
1.Department of Physics, Yancheng Teachers College, Yancheng 224002, China; 2.Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
关键词:
时滞系统;  稳定性;  PI控制
Keywords:
time- delay system;  stabilization;  PI control
分类号:
TP273
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 .
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 kp- ki is presented. Moreover, the necessary conditions are proposed for the ex istence 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.

参考文献/References:

[ 1] Eric P, Andre D. Development and evaluation of autotuning and adaptive PID controller[ J] . Automatica, 1996, 32( 1) : 71- 82.
[ 2] Ho W K, XuW. PID tuning for unstable processes based on gain and phase-margin specifications [ J] . IEE Proc-Control Theory and Application, 1998, 145( 5) : 392- 396.
[3] Shafiei Z, Shenton A T. Frequency- domain design of PID controllers for stable and unstable systems with time delay[ J] . Automatica, 1997, 33( 12) : 2223 -2232.
[ 4] Lee Y, Lee J, Park S. PID controller tuning for integrating and unstable processes with time delay [ J] . Chemical Eng-i neering Science, 2000, 55( 1) : 3481- 3493.
[ 5] Poulin E, Pomerlean H. PID tuning for integrating and unstable processes[ J] . IEE Proc-Control Theory and Application, 1996, 143( 5) : 429- 435.
[ 6] Yaniv O, Nagurk M. Robust PI controller design satisfying gain and phase margin constraints[ J] . IEEE Transaction on Automatic Control, 2003, 48( 11) : 2069 -2072.
[ 7] Yaniv O, NagurkM. Design of PID controllers satisfying gain margin and sensitivity constraints on a set of plants[ J] . Automatica, 2004, 40( 1) : 111- 116.
[ 8] Ho M T, Datta A, Bhattacharyya S P. A linear programming characterization of all stabilizing PID controllers [ A] . Proceed- ings of the American Control Conference[ C] . 1997. 3922- 3928.
[ 9] Ho M T. Synthesis of H ∞ PID controllers: A parametric approach[ J] . Automatica, 2003, 39: 1069- 1075.
[ 10] Guo Zhi. A survey of satisfying control and estimation[ A] . Proceedings of the 14th IFAC World Congress[ C] . 1999. 443- 447.

相似文献/References:

[1]魏艳辉,李群宏,徐洁琼,等.两自由度碰撞振动系统的动力学分析[J].南京师范大学学报(工程技术版),2007,07(01):085.
　Wei Yanhui,Li Qunhong,Xu Jieqiong,et al.Dynamic Analysis of Two-Degree-of-Freedom Vibro-Impact Systems[J].Journal of Nanjing Normal University(Engineering and Technology),2007,07(04):085.
[2]祝雪妹.数字系统中比例系数和采样周期影响稳定性的研究[J].南京师范大学学报(工程技术版),2001,01(03):008.
　Zhu Xuemei.The Effect of the Gain and Sampling Interval on the stability in a Digital Control System[J].Journal of Nanjing Normal University(Engineering and Technology),2001,01(04):008.

备注/Memo

备注/Memo:
基金项目: 国防科工委“ 十五”预研兵器支撑基金资助项目( BZJ04026) .
作者简介: 刘艳( 1976- ) , 女, 硕士, 助教, 主要从事时滞系统稳定与控制、PID 控制的稳定性和过程控制等方面的教学与研究.E-mail: liuyan- z@ sina. com
通讯联系人: 盛安冬(1964- ) , 博士, 教授, 博士生导师, 主要从事火力控制、满滤波等方面的教学与研究工作.E-mail: shengandong@ 263. net
更新日期/Last Update: 2013-04-29