确保稳定裕度的PID稳定域计算

赵秀伟1; 任建岳1

doi:10.3788/OPE.20132112.3214

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确保稳定裕度的PID稳定域计算

信息科学 | 更新时间：2020-08-12

- 确保稳定裕度的PID稳定域计算
- Computation of PID stabilizing region with stabilized margins
- 光学精密工程 2013年21卷第12期页码：3214-3222
- 作者机构：
  
  1. ．中国科学院长春光学精密机械与物理研究所,吉林长春,130033
  2. ．中国科学院大学北京,100039
  3. 中国电子科技集团公司第四十五研究所北京,100176
- 作者简介：
- 基金信息：
  
  国家863高技术研究发展计划资助项目-激光共性技术研究()
- DOI：10.3788/OPE.20132112.3214
  中图分类号： TP13;TP273
- 收稿日期：2012-06-26，
  
  修回日期：2012-10-29，
  
  网络出版日期：2013-12-25，
  
  纸质出版日期：2013-12-25
- 稿件说明：
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赵秀伟任建岳. 确保稳定裕度的PID稳定域计算[J]. 光学精密工程, 2013,21(12): 3214-3222

ZHAO Xiu-wei REN Jian-yue. Computation of PID stabilizing region with stabilized margins[J]. Editorial Office of Optics and Precision Engineering, 2013,21(12): 3214-3222
赵秀伟任建岳. 确保稳定裕度的PID稳定域计算[J]. 光学精密工程, 2013,21(12): 3214-3222 DOI： 10.3788/OPE.20132112.3214.

ZHAO Xiu-wei REN Jian-yue. Computation of PID stabilizing region with stabilized margins[J]. Editorial Office of Optics and Precision Engineering, 2013,21(12): 3214-3222 DOI： 10.3788/OPE.20132112.3214.

摘要

在PID控制器稳定参数域的研究中，要求控制系统具有一定的稳定裕度，以便补偿被控对象模型的不确定性和PID控制器的参数漂移特性。本文扩展了传统稳定裕度（幅值裕度和相位裕度）的定义，定义了被控对象在PID控制下的4种稳定裕度。针对含有右半平面(RHP)极点和不含有RHP极点的两种被控对象，讨论了它们必然存在的稳定裕度。对于以这些稳定裕度作为性能指标约束的两类PID闭环控制系统，利用扩展Hurmite-Biehler定理给出了其PID稳定参数域的详细构建方法，并通过两个仿真实例对该方法进行了验证。结果表明，利用本文提出的方法可以得到满足稳定裕度条件的PID参数稳定域。

Abstract

On research of the stabilizing region of a PID controller

the control system is required a stabilized margin to compensate the uncertainty of plant modeling and the parameter deviation of PID controller. This paper defines four types of stability margins for the plant under PID controller to extend the conventional definition of stability margins (gain margin and phase margin). Based on the presences of Right Half Plane(RHP) poles or not

the closed-loop systems are classified into two categories and their necessary stabilized margins are stated. A method of constructing PID stabilizing regions by using the generalized Hermite-Biehler theorems is proposed for the PID controlled closed-loop system to meet the prescribed performance of stability margins. Then

two examples are employed to test the validity of the method proposed. Obtained results demonstrate that the PID stabilizing regions with stabilized margins can really be gotten by the proposed method for both cases.

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references

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