Optimal discrete-time models for continuous-time control systems
type: Item
instance of: scholarly article
title: Optimal discrete-time models for continuous-time control systems
zbMATH Open document ID: 0656.93030
DOI: 10.1016/0307-904X(88)90090-X
author: Salem A. K. Al-Assadi
author: Azzam A. Marouf
published in: Applied Mathematical Modelling
publication date: 1988-01-01T00:00:00Z
review text: A computer-aided method for the computation of optimal discrete-time models from continuous-time models is presented. A time-domain optimization technique is utilized for finding optimum values for the parameters of the discrete model by minimizing a criterion based on the squared error (MSE) between the time responses of the continuous-time model and the equivalent discrete-time model at sampling instants. Results of all examples considered show the strength of this technique as compared with other methods developed in the literature when one uses as the basis for comparison the MSE between step responses of the continuous model and those of the equivalent discrete models. Moreover, the proposed method gives accurate equivalent models for both small and large sampling periods.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 49M99
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93B55
zbMATH DE Number: 4072804
zbMATH Keywords: computer-aided method
zbMATH Keywords: optimal discrete-time models
zbMATH Keywords: time-domain optimization
zbMATH Keywords: squared error
zbMATH Keywords: sampling
zbMATH Keywords: continuous-time
MaRDI profile type: Publication
cites work: Simplification of large linear systems using a two-step iterative method
cites work: Model reduction using the stability-equation method and the continued-fraction method
cites work: Q3931080
cites work: Computation of optimal controller parameters for multivariable systems via a time-domain optimization technique
description: scientific article; zbMATH DE number 4072804