Adaptive control of linear time-varying systems
type: Item
instance of: scholarly article
title: Adaptive control of linear time-varying systems
zbMATH Open document ID: 1016.93035
DOI: 10.1016/S0005-1098(02)00287-X
author: Riccardo Marino
author: P. Tomei
published in: Automatica
publication date: 2003-04-27T00:00:00Z
review text: This paper presents an adaptive output feedback control algorithm that assures boundedness of all closed-loop signals, arbitrarily improved transient performance of the tracking error, and asymptotically vanishing tracking error when parameter time derivatives are \(L^1\) signals and disturbances are \(L^2\) signals. The assumptions are: single-input, single-output linear time-varying systems with uncertainty that are affected by unknown bounded additive disturbances. The time-varying parameters are taken to be smooth and bounded (but are not required to be sufficiently slow or to have known bounds). The output is the only measured variable, and it is required to track a given smooth bounded reference trajectory. The undisturbed system is assumed to be minimum phase and to have a known constant degree, a known sign of the high frequency gain, and a known upper bound on the system order.
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 1901005
zbMATH Keywords: adaptive control
zbMATH Keywords: linear time-varying systems
zbMATH Keywords: time-varying parameters
zbMATH Keywords: adaptive tracking
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00287-x
OpenAlex ID: W2079799076
description: scientific article; zbMATH DE number 1901005