A new set of piecewise constant orthogonal functions for the analysis of linear SISO systems with sample-and-hold
type: Item
instance of: scholarly article
title: A new set of piecewise constant orthogonal functions for the analysis of linear SISO systems with sample-and-hold
zbMATH Open document ID: 0915.93041
DOI: 10.1016/S0016-0032(96)00110-X
author: Anish Deb
author: Gautam Sarkar
author: Manabrata Bhattacharjee
author: Sunit Kr. Sen
published in: Journal of the Franklin Institute
publication date: 1999-07-12T00:00:00Z
review text: A new approach to the analysis of single-input single-output (SISO) systems working in a sample and hold (SH) mode is presented. First, an accurate analysis of already existing approaches is presented. The novelty of the point of view given here lies in: a) constructing orthogonal piecewise constant functions having analogies with the Haar functions and b) finding how to invert simple linear operators, like \((s+a)^{-1}\), without inverting any matrix. An analysis of the errors ocurring in using this (approximate) method is given. The approach given here is ingenious and allows to avoid lengthy computations related with the \(Z\)-transform. Some examples illustrate the validity of the proposed way.
Mathematics Subject Classification ID: 93C57
zbMATH DE Number: 1164133
zbMATH Keywords: inversion
zbMATH Keywords: orthogonal piecewise constant functions
zbMATH Keywords: Haar functions
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
cites work: Block pulse functions, the most fundamental of all piecewise constant basis functions
cites work: All-integrator approach to linear SISO control system analysis using block pulse functions (BPF)
cites work: Block pulse functions and their applications in control systems
cites work: Linearly pulse-width modulated block pulse functions and their application to linear SISO feedback control system identification
cites work: Analysis of linear discrete SISO control systems via a set of delta functions
cites work: Analysis of multirate sampled-data systems by block-pulse functions
cites work: Walsh operational matrices for fractional calculus and their application to distributed systems
cites work: On improvement of the integral operational matrix in block pulse function analysis
cites work: Piecewise constant orthogonal functions and their application to systems and control
cites work: Improved algorithms for parameter identification in continuous systems via Walsh functions
cites work: Q3321331
Wikidata QID: Q127207171
description: scientific article; zbMATH DE number 1164133