Optimal multivariable PID control based on LMI approach

Qing Guo Wang, Zhen Ye, Wen Jian Cai, Chang Chieh Hang

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In the previous two chapters, design methods for multivariable PID control have been demonstrated based on IMC and dominant pole placement, respectively. They are in line with traditional design methods commonly used for process control and are broadly accepted in practice. On the other hand, most of the developments in the modern control theory have not been applied to PID control due to their complexity or inconvenience of use. It is our wish to bridge the modern control theory and the industrial control practice which could benifit from the advancement in the former. This chapter aims to make an initial step towards solving this problem. The basic idea is to transform the PID control to the equivalent static output feedback (SOF) control by augmenting to the process with some new state variables induced by the PID controller such that the well established results in SOF field can be employed to design a multivariable PID controller for various specifications such as stability, H2/H ∈∞∈ performance and maximum output control.

Original languageEnglish
Title of host publicationPID Control for Multivariate Processes
Number of pages36
Publication statusPublished - 2008
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643

ASJC Scopus subject areas

  • Library and Information Sciences


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