A model reference adaptive controller for systems with uncertain relative degrees \(r\), \(r+1\) or \(r+2\) and unknown signs of high-frequency gains
type: Item
instance of: scholarly article
title: A model reference adaptive controller for systems with uncertain relative degrees \(r\), \(r+1\) or \(r+2\) and unknown signs of high-frequency gains
zbMATH Open document ID: 0961.93033
DOI: 10.1016/S0005-1098(99)00216-2
author: Yoshihiko Miyasato
published in: Automatica
publication date: 2001-05-29T00:00:00Z
review text: The aim of the paper is to present a new design method for the model reference adaptive controllers, to be applied to processes with uncertain relative degrees \(r\), \(r+1\), or \(r+2\) \((r\in\mathbb{N})\), and with unknown signs of high-frequency gains. The proposed method represents an extension of A. S. Morse's adaptive controllers (1987), where there was assumed that the relative degrees are uncertain but known to be 1 or 2. The new control scheme combines Morse's composite structures and extends them to the general relative degree case by applying recent backstepping procedures. The author succeeds to prove that single adaptive control schemes can deal with enlarged uncertainties of relative degrees and unknown signs of high-frequency gains. The resulting model reference adaptive control systems are shown to be asymptotically stable.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 1443878
zbMATH Keywords: Nussbaum gain
zbMATH Keywords: uncertain relative degrees
zbMATH Keywords: model reference adaptive controllers
zbMATH Keywords: unknown signs of high-frequency gains
zbMATH Keywords: general relative degree
zbMATH Keywords: backstepping
MaRDI profile type: Publication
cites work: Q4692380
cites work: Q4853265
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cites work: Some remarks on a conjecture in parameter adaptive control
full work available at URL: s0005-1098(99)00216-2
OpenAlex ID: W2038922390
description: scientific article; zbMATH DE number 1443878