A robust discrete-time direct adaptive control algorithm
type: Item
instance of: scholarly article
title: A robust discrete-time direct adaptive control algorithm
zbMATH Open document ID: 0803.93024
DOI: 10.1016/0167-6911(94)90014-0
author: Gang Feng
published in: Systems \& Control Letters
publication date: 1994-04-12T00:00:00Z
review text: After a short presentation of some approaches in robustness of the discrete-time adaptive control algorithm in Section 2 is reviewed the ordinary discrete-time adaptive control algorithm with dead-zone. In Section 3 are presented main results about a new robust direct adaptive control algorithm. It is considered the case where the upper bound of the disturbances is unknown and it is used an estimate of \(\eta\) in the dead- zone function. By considering a Lyapunov function candidate the stability and convergence of the new adaptive control system are analysed. A theorem which assumes the global stability of the new algorithm is given. This new robust discrete-time directe adaptive control algorithm uses the dead-zone but no upper bound on the disturbances is required apriori. Results on global stability and convergence are also established.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 550130
zbMATH Keywords: discrete-time adaptive control algorithm
zbMATH Keywords: global stability
reviewed by: Ioan Dumitrache
MaRDI profile type: Publication
full work available at URL: 0167-6911(94)90014-0
OpenAlex ID: W2030202580
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description: scientific article; zbMATH DE number 550130