Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form
type: Item
instance of: scholarly article
title: Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form
zbMATH Open document ID: 0876.93083
DOI: 10.1016/S0005-1098(96)00222-1
author: Bin Yao
author: M. Tomizuka
published in: Automatica
publication date: 1997-07-17T00:00:00Z
review text: The authors of this paper investigate robust adaptive control of a class of single-input, single-output (SISO) nonlinear systems transformable to a semi-strict feedback form. These systems can possess both parameter uncertainties and unknown linear functions representing modeling errors and external disturbances. The authors develop a systematic way to combine backstepping adaptive control with deterministic robust control provided that there is prior knowledge of the bounds of the parameter uncertainties and known bounding functions of the unknown linear functions. The authors' method preserves the advantages of each part of the hybrid approach: asymptotic stability of adaptive control in the presence of parametric uncertainties and guaranteed transient performance with the prescribed precision of deterministic robust control for both parametric uncertainties and unknown nonlinear functions. Simulation results for a simple example illustrate the authors' results.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1036534
zbMATH Keywords: robust adaptive control
zbMATH Keywords: nonlinear systems
zbMATH Keywords: semi-strict feedback form
zbMATH Keywords: backstepping adaptive control
zbMATH Keywords: robust control
zbMATH Keywords: parametric uncertainties
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
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Wikidata QID: Q127202895
full work available at URL: s0005-1098(96)00222-1
OpenAlex ID: W1995063639
description: scientific article; zbMATH DE number 1036534