Singular perturbation analysis of linear systems with scalar quantized control
type: Item
instance of: scholarly article
title: Singular perturbation analysis of linear systems with scalar quantized control
zbMATH Open document ID: 0663.93035
DOI: 10.1016/0005-1098(88)90051-9
published in: Automatica
publication date: 1988-01-01T00:00:00Z
review text: The paper discusses the effect of quantization on a standard linear singularly perturbed control system with constant matrices. In the open- loop structure the control is decomposed into a slow switching and a fast switching component. The open-loop structure uses quantization of the feedback and it is separated into a slow and fast reduced order model. Sufficient conditions are given for the asymptotic stability of the scalar quantized feedback system. A numerical example illustrates the discussion.
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 49J30
zbMATH DE Number: 4085522
zbMATH Keywords: quantization
zbMATH Keywords: linear singularly perturbed control system
zbMATH Keywords: feedback
zbMATH Keywords: asymptotic stability
zbMATH Keywords: time-invariant
author: Bonnie S. Heck
author: Abraham Haddad
reviewed by: A. L. Dontchev
MaRDI profile type: Publication
full work available at URL: 0005-1098(88)90051-9
OpenAlex ID: W2046100543
cites work: Controllability and time-optimal control of systems with slow and fast modes
cites work: Q3791007
cites work: Singular perturbations and order reduction in control theory - an overview
cites work: The Asymptotic Behavior of the Stable Initial Manifolds of a System of Nonlinear Differential Equations
cites work: Singular perturbations and time-scale methods in control theory: Survey 1976-1983
cites work: Variable structure systems with sliding modes
cites work: Q4182320
cites work: &lt;tex&gt;L_infty&lt;/tex&gt;-stability criteria for interconnected systems using exponential weighting
description: scientific article; zbMATH DE number 4085522