An LQG approach to systems with saturating actuators and anti-windup implementation
type: Item
instance of: scholarly article
title: An LQG approach to systems with saturating actuators and anti-windup implementation
zbMATH Open document ID: 1062.93046
DOI: 10.1080/10241230306731
author: Yongsoon Eun
author: C. Gökçek
author: Pierre T. Kabamba
author: S. M. Meerkov
published in: Mathematical Problems in Engineering
publication date: 2004-11-16T00:00:00Z
review text: A LQG control problem with saturation of the control signal is considered. In the proposed approach, a linear controller is designed explicitly taking into account saturation. It is shown that the obtained controllers do not require an anti-windup implementation, in the sense that adding any anti-windup cannot reduce the performance index. Results obtained are based on the method of stochastic linearization, which is a quasi-linearization technique similar to the describing function description. According to this method, the saturating actuator is replaced by a linear model with a gain which is a function of the variance of the signal at its input.
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 2115992
zbMATH Keywords: describing function description
zbMATH Keywords: stochastic linearization
zbMATH Keywords: LQG control
zbMATH Keywords: saturation
zbMATH Keywords: variance of the signal at input
reviewed by: Ryszard Gessing
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/10241230306731
OpenAlex ID: W2025395820
description: scientific article; zbMATH DE number 2115992