On the optimal tuning of a robust controller for parabolic distributed parameter systems
type: Item
instance of: scholarly article
title: On the optimal tuning of a robust controller for parabolic distributed parameter systems
zbMATH Open document ID: 0633.93036
DOI: 10.1016/0005-1098(87)90028-8
published in: Automatica
publication date: 1987-01-01T00:00:00Z
review text: The author investigates optimal tuning of robust multivariable controllers for stable parabolic distributed parameter systems. He selects a quadratic criterion in order to evaluate the behaviour of the closed-loop system. He proves that the system may be decomposed into slow and fast subsystems, and that the value of the criterion will mainly depend on the slow subsystem. For this subsystem it turns out that tuning of the controller is a standard finite-dimensional quadratic regulator problem. He gives two examples to show the improvement due to the new selection of the control parameters.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4031514
zbMATH Keywords: PID-control
zbMATH Keywords: optimal tuning
zbMATH Keywords: robust multivariable controllers
zbMATH Keywords: parabolic distributed parameter systems
author: Seppo Pohjolainen
reviewed by: Toshihiro Kobayashi
MaRDI profile type: Publication
full work available at URL: 0005-1098(87)90028-8
OpenAlex ID: W2095173209
cites work: Infinite dimensional linear systems theory
cites work: Q4096795
cites work: The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods
cites work: Decoupling of multivariable systems by function optimization
cites work: Q4110164
cites work: Optimal regulator design of linear multivariable systems with prescribed pole locations in the presence of system disturbances
cites work: Periodic output regulation for distributed parameter systems
cites work: Robust multivariable PI-controller for infinite dimensional systems
cites work: Robust controller for systems with exponentially stable strongly continuous semigroups
cites work: General servomechanism problems for distributed parameter systems
cites work: Optimal proportional plus integral control for regulator and tracking problems
description: scientific article; zbMATH DE number 4031514