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多变量非方系统多环PI控制器设计

王志强 栾小丽 刘飞

信息与控制2016,Vol.45Issue(5):556-562,7.
信息与控制2016,Vol.45Issue(5):556-562,7.DOI:10.13976/j.cnki.xk.2016.0556

多变量非方系统多环PI控制器设计

Multi-loop PI Controller Design for Multivariable Non-square Systems

王志强 1栾小丽 1刘飞1

作者信息

  • 1. 江南大学轻工过程先进控制教育部重点实验室,江苏无锡 214122
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摘要

Abstract

Based on the theory of equivalent transfer function (ETF),we propose a multi-loop PI (proportional in-tegral)controller design method for high dimensional multivariable non-square systems with time-delays. Firstly,by exploiting the relationship between the ETF and the generalized inverse of transfer function of the non-square systems,an analytical expression of ETF is derived.Then,based on the obtained ETF,the multi-loop PI controler parameters are calculated by exploiting IMC-PID (internal model control-proportional inte-gral derivation)theory with the help of the Maclaurin expansion.The proposed ETF design approach not only has higher accuracy,but is also applicable to high dimensional non-square systems.Finally,several examples are given to demonstrate the simplicity and the effectiveness of the designed method.

关键词

非方系统/等价传递函数/广义逆/多环PI(proportional integral)控制

Key words

non-square system/equivalent transfer function/generalized inverse/decentralized PI (proportional integral)control

分类

信息技术与安全科学

引用本文复制引用

王志强,栾小丽,刘飞..多变量非方系统多环PI控制器设计[J].信息与控制,2016,45(5):556-562,7.

基金项目

国家自然科学基金资助项目 ()

信息与控制

OA北大核心CSCDCSTPCD

1002-0411

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