Transient-performance improvement with a new class of adaptive controllers
type: Item
instance of: scholarly article
title: Transient-performance improvement with a new class of adaptive controllers
zbMATH Open document ID: 0805.93030
DOI: 10.1016/0167-6911(93)90050-G
author: Ioannis Kanellakopoulos
author: Miroslav Krstic
author: P. V. Kokotović
published in: Systems \& Control Letters
publication date: 1995-01-31T00:00:00Z
review text: A new class of adaptive controllers with better transient performances is presented. In section 2 a general form of adaptive control systems with reference model is studied. The performance of the adaptive system are analyzed in section 3 and techniques to improve the transient performances are proposed. The \(L_ 2\) and \(L_ \infty\) performances are analyzed and the dependence of the \(L_ \infty\) performance on the parameter uncertainty and the design parameters is studied. In section 4 some performances of the nonadaptive section which does not achieve asymptotic tracking are presented. It is proved that the mean- square performance can be made accurate to the desired extent. Two theorems are also proved for the stability and mean-square performance and tracking performance. A comparison between a linear nonadaptive controller and a nonlinear adaptive system is presented in section 5. It is proved that adaptation is an efficient tool for reducing the effects of large parametric uncertainty without unacceptable widening of the system bandwidth.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 550119
zbMATH Keywords: transient performances
zbMATH Keywords: tracking performance
reviewed by: Ioan Dumitrache
MaRDI profile type: Publication
Wikidata QID: Q59622159
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full work available at URL: 0167-6911(93)90050-g
OpenAlex ID: W2096110083
description: scientific article; zbMATH DE number 550119