Asymptotic tracking of a reference state for systems with a feedforward structure
type: Item
instance of: scholarly article
title: Asymptotic tracking of a reference state for systems with a feedforward structure
zbMATH Open document ID: 0938.93051
DOI: 10.1016/S0005-1098(99)00136-3
author: Laurent Praly
author: Frédéric Mazenc
published in: Automatica
publication date: 2000-06-06T00:00:00Z
review text: The authors present a sufficient condition for the solvability of the following asymptotic tracking problem for a nonlinear system in feedforward form: Given an admissible reference trajectory for the system, design a time-varying continuous feedback law such that this trajectory is a globally asymptotically stable solution for the (now nonautonomous) closed loop system. The construction of the feedback relies on a Lyapunov function for a suitable transformation of the error equation, which is shown to exist under the assumed condition. Furthermore, it is shown that one even obtains global uniform asymptotic stability in case of a periodic reference trajectory, which allows a repeated application of the result to cascaded feedforward systems.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1394974
zbMATH Keywords: asymptotic tracking
zbMATH Keywords: feedback construction
zbMATH Keywords: Lyapunov function
zbMATH Keywords: feedforward system
MaRDI profile type: Publication
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full work available at URL: s0005-1098(99)00136-3
OpenAlex ID: W2047174300
description: scientific article; zbMATH DE number 1394974