Multivariable control system based on PID diagonal dominant compensation matrix

WANG Qihang; XU Feng; LUO Xionglin

doi:10.11949/j.issn.0438-1157.20171137

您当前的位置：

首页 >

文章列表页 >

Multivariable control system based on PID diagonal dominant compensation matrix

更新时间：2025-12-10

- Multivariable control system based on PID diagonal dominant compensation matrix
- CIESC Journal Issue 3, Pages: 1092-1101(2018)
- 作者机构：
  
  中国石油大学(北京)自动化系,北京,102249
- 作者简介：
- 基金信息：
- DOI：10.11949/j.issn.0438-1157.20171137
  CLC： P273
- Online First：05 March 2018，
  
  Published：05 March 2018
- 稿件说明：
移动端阅览
WANG Qihang, XU Feng, LUO Xionglin. Multivariable control system based on PID diagonal dominant compensation matrix[J]. CIESC Journal, 2018, (3): 1092-1101.
DOI：

WANG Qihang, XU Feng, LUO Xionglin. Multivariable control system based on PID diagonal dominant compensation matrix[J]. CIESC Journal, 2018, (3): 1092-1101. DOI： 10.11949/j.issn.0438-1157.20171137.

摘要

化工过程一般为多变量系统，输入输出变量之间往往存在耦合作用，常规分散PID控制系统难以保证控制质量。为了削弱多变量系统的耦合作用，基于对角优势的设计准则，通过在若干频率点加权优化，设计PID动态预补偿阵。然后利用正Nyquist阵列设计法对补偿后的系统设计控制器，基于对角优势系统的Nyquist稳定判据，通过绘制优势度曲线和Gershgorin带判断系统的优势程度，初步确定反馈矩阵的稳定参数范围，再按照单输入单输出系统设计动态补偿器，使得系统满足动态控制品质要求。最后通过示例说明，该方法设计的集中控制系统与分散控制相比，控制性能具有一定的优势，且方法简便，容易实现。

Abstract

Chemical processes are multivariable systems with often coupled interactions between input and output variables

which conventional decentralized PID control system is difficult to maintain good control performance. In order to weaken coupling effect in multivariable system

PID dynamic pre-compensation matrix was designed by weighted optimization of many frequency points and diagonal dominance design criterion. A controller of the compensated diagonal dominance system was designed using positive Nyquist array design method. According to Nyquist stability criterion of diagonal dominance system

stable parameter range of feedback matrix was determined by plotting dominance degree curve and Gershgorin band. After that

dynamic compensator was designed by following single input single output system principle

which made the closed-loop system meet performance requirements of dynamic controls. Case studies show that centralized control systems designed by this method are more advantageous

simpler

and easier than decentralized control system.

关键词

Keywords

references

Views

144

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Inverse Nyquist array for multivariable control system using constant diagonal dominant pre-compensation matrix

Controller parameter self-tuning when control loop mode switching for multi-loop PID control system of chemical process

Corrosion health status assessment method for refining unit pipeline based on GLAE-MLP

A dual-stream multirate GRU soft sensor modeling based on data chunk strategy

ESO-based action dependent heuristic dynamic programming control and its application in a four-stage CSTR process

Related Author

Jiansong WANG

Feng XU

Xionglin LUO

HU Jinqiu

MA Mingjun

ZHANG Laibin

DONG Jiayan

ZHANG Zhen

Related Institution

Department of Automation, China University of Petroleum

College of Safety and Ocean Engineering, China University of Petroleum

Key Laboratory of Oil and Gas Safety and Emergency Technology, Ministry of Emergency Management

Key Laboratory of Oil and Gas Production Equipment Quality Inspection and Health Diagnosis, State Administration for Market Regulation

School of Internet of Things Engineering, Jiangnan University

⁰