Deterministic convergence of a Clarke-Gawthrop self-tuning controller
type: Item
instance of: scholarly article
title: Deterministic convergence of a Clarke-Gawthrop self-tuning controller
zbMATH Open document ID: 0588.93046
DOI: 10.1016/0005-1098(86)90080-4
author: Christos A. Tsiligiannis
author: Spyros A. Svoronos
published in: Automatica
publication date: 1986-01-01T00:00:00Z
review text: A proof of global asymptotic stability of a single input-single output deterministic self-tuning controller is given. The controller considered minimizes a quadratic cost measure of the Clarke-Gawthrop type which penalizes input and output deviations from the desired values as well as excessive control action. The parameter estimation scheme employs a variable forgetting factor. It is established that the output error converges to zero, even for nonminimum phase systems, for appropriate cost functions.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93E10
zbMATH DE Number: 3946001
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: self-tuning controller
zbMATH Keywords: quadratic cost measure of the Clarke-Gawthrop type
zbMATH Keywords: parameter estimation
zbMATH Keywords: variable forgetting factor
MaRDI profile type: Publication
full work available at URL: 0005-1098(86)90080-4
OpenAlex ID: W2081189722
cites work: On self tuning regulators
cites work: Q4745712
cites work: Self-tuning control of nonminimum-phase systems
cites work: Arbitrary adaptive pole placement for linear multivariable systems
cites work: Adaptive control of single-input, single-output linear systems
cites work: On the stability and convergence of a self-tuning controller
cites work: Q3966001
cites work: Discrete-time multivariable adaptive control
cites work: Discrete Time Stochastic Adaptive Control
cites work: Adaptive control of nonminimum phase systems
cites work: On adaptive minimum variance regulation for non-minimum phase plants
cites work: Q3872305
cites work: Analysis of recursive stochastic algorithms
cites work: On positive real transfer functions and the convergence of some recursive schemes
cites work: Stable discrete adaptive control
cites work: Stable adaptive controller design--Direct control
cites work: Stochastic adaptive control using a modified least squares algorithm
description: scientific article; zbMATH DE number 3946001