Envelope-constrained IIR filter design: An LMI \(H_\infty\) optimization approach
type: Item
instance of: scholarly article
title: Envelope-constrained IIR filter design: An LMI \(H_\infty\) optimization approach
zbMATH Open document ID: 0957.93020
DOI: 10.1007/BF01204575
author: Zhiqiang Tan
author: Yeng Chai Soh
author: Lihua Xie
published in: Circuits, Systems, and Signal Processing
publication date: 2001-03-11T00:00:00Z
review text: \(H_\infty\) optimization of controllers and filters makes often use of linear matrix inequalities (LMI) techniques [cf. e.g. \textit{P. Gahinet} and \textit{P. Apkarian}, ``A linear matrix inequality approach to \(H_\infty\) control'', Int. J. Robust Nonlinear Control 4, No. 4, 421-448 (1994; Zbl 0808.93024)]. Usually, this is done in the frequency domain. In this different case, the paper considers the \(H_\infty\) optimization problem of an IIR filter having constraints in the time domain. This means that an envelope is given as a constraint on the error function of the IIR filter, possibly depending on the filter input. This problem is converted into an LMI optimization task and is finally solved. A numerical example is given using the LMI toolbox of MATLAB, and is discussed in detail.
reviewed by: Rüdiger Hoffmann
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C62
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1513150
zbMATH Keywords: \(H_\infty\) optimization
zbMATH Keywords: IIR filtering
zbMATH Keywords: LMI methods
zbMATH Keywords: time domain constraint
describes a project that uses: Matlab
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Envelope-constrained filters--I: Theory and applications
cites work: A course in \(H_{\infty}\) control theory
cites work: A linear matrix inequality approach to H∞ control
cites work: Q4255489
cites work: Frequency response algorithms for H/sub infinity / optimization with time domain constraints
cites work: H/sub ∞/ optimization with time-domain constraints
cites work: Single-input--single-output \({\mathcal H}_ \infty\)-control with time domain constraints
cites work: H∞ estimation for discrete‐time linear uncertain systems
full work available at URL: https://doi.org/10.1007/bf01204575
OpenAlex ID: W2051768861
description: scientific article; zbMATH DE number 1513150