Universal adaptive stabilization of nonlinear systems
type: Item
instance of: scholarly article
title: Universal adaptive stabilization of nonlinear systems
zbMATH Open document ID: 0888.93054
DOI: 10.1023/A:1008297214946
author: Achim Ilchmann
published in: Dynamics and Control
publication date: 1997-08-07T00:00:00Z
review text: \textit{B. Mårtensson} [Syst. Control Lett. 6, 87-91 (1985; Zbl 0564.93055)] showed that the order of any stabilizing controller is sufficient a priori information for adaptively stabilizing a linear time-invariant system by constructing an adaptive feedback mechanism based on a dense search through the controller parameter space [see also \textit{B. Mårtensson} and \textit{J. W. Polderman}, Syst. Control Lett. 20, 465-470 (1993; Zbl 0788.93078)]. This paper extends the result in Mårtensson's paper to a class of nonlinear time-varying systems. The control law given now is very similar to the controller derived there, but is slightly simpler.
reviewed by: H. Logemann
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1046291
zbMATH Keywords: adaptive stabilization
zbMATH Keywords: nonlinear time-varying systems
MaRDI profile type: Publication
full work available at URL: a:1008297214946
OpenAlex ID: W124300260
description: scientific article; zbMATH DE number 1046291