Dynamic tracking with zero variation and disturbance rejection applied to discrete-time systems
type: Item
instance of: scholarly article
title: Dynamic tracking with zero variation and disturbance rejection applied to discrete-time systems
zbMATH Open document ID: 1206.93068
DOI: 10.1155/2010/842896
author: Renato De Aguiar Teixeira Mendes
author: E. Assunção
author: M. C. M. Teixeira
author: Cristiano Q. Andrea
published in: Mathematical Problems in Engineering
publication date: 2011-02-09T00:00:00Z
review text: Summary: The problem of signal tracking in discrete linear time invariant systems, in the presence of a disturbance signal in the plant, is solved using a new zero-variation methodology. A discrete-time dynamic output feedback controller is designed in order to minimize the \({\mathcal H}_\infty\) norm between the exogen input and the output signal of the system, such that the effect of the disturbance is attenuated. Then, the zeros modification is used to minimize the \(\mathcal H_{\infty}\) norm from the reference input signal to the error signal. The error is taken as the difference between the reference and the output signal. The proposed design is formulated in Linear Matrix Inequalities (LMIs) framework, such that the optimal solution of the stated problem is obtained. The method can be applied to plants with delay. The control of a delayed system illustrates the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 5849048
zbMATH Keywords: signal tracking
zbMATH Keywords: discrete linear time invariant systems
zbMATH Keywords: disturbance signal
zbMATH Keywords: \({\mathcal H}_\infty\) norm
Wikidata QID: Q58653381
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/842896
OpenAlex ID: W2010815589
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description: scientific article; zbMATH DE number 5849048