Asymptotic output tracking of nonlinear differential-algebraic control systems
type: Item
instance of: scholarly article
title: Asymptotic output tracking of nonlinear differential-algebraic control systems
zbMATH Open document ID: 0910.93035
DOI: 10.1016/S0005-1098(97)00224-0
published in: Automatica
publication date: 1999-04-07T00:00:00Z
review text: Control problems modelled by nonlinear differential algebraic equations with output are studied. The aim is to construct a state feedback law such that asymptotic tracking of a given reference output is achieved. Similar problems have been considered, for example, by \textit{H. Krishnan} and \textit{N. H. McClamroch} [Automatica 30, No. 12, 1885-1897 (1994; Zbl 0815.93057)]. Under assumptions which are relatively mild in comparison to those of Krishnan/McClamroch, the author constructs a coordinate change in state space such that the transformed system has the desired properties: One can find feedback laws such that the closed loop system has solutions for all consistent initial values, these solutions are bounded, and asymptotic output tracking is achieved. If the transformed system is well-behaved (say, for example, bounded input-bounded state), then this provides a solution to the original tracking problem.
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1192898
zbMATH Keywords: differential-algebraic systems
zbMATH Keywords: singular systems
zbMATH Keywords: feedback control
zbMATH Keywords: output tracking
zbMATH Keywords: transformation
author: Xiaoping Liu
reviewed by: Dirk Mittenhuber
MaRDI profile type: Publication
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full work available at URL: s0005-1098(97)00224-0
OpenAlex ID: W2064287834
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description: scientific article; zbMATH DE number 1192898