Stable inversion for nonlinear systems
type: Item
instance of: scholarly article
title: Stable inversion for nonlinear systems
zbMATH Open document ID: 0890.93046
DOI: 10.1016/S0005-1098(97)00064-2
author: G. Meyer
author: L. R. Hunt
published in: Automatica
publication date: 1998-07-01T00:00:00Z
review text: The paper presents a solution to the stable inversion problem for a perturbation of a pure-feedback system. The proposed procedure provides bounded controls and bounded state trajectories in response to bounded output signals. It requests the following two steps: (1) computation of the control and state trajectory when ignoring the error of the pure-feedback part of the system; (2) computation of the remaining control and states by finding a non-causal and stable solution to an error-driven dynamical system. The whole approach relies on deriving a direct link between the bounded solution of the partial differential equation formulated by \textit{A. Isidori} and \textit{C. I. Byrnes} [IEEE Trans. Autom. Control 35, 131-140 (1990; Zbl 0704.93034)] and the integral representation formula developed by \textit{S. Devasia}, \textit{D. Chen} and \textit{B. Paden} [IEEE Trans. Autom. Control 41, 930-942 (1996; Zbl 0859.93006)].
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1081896
zbMATH Keywords: tracking systems
zbMATH Keywords: stable inversion
zbMATH Keywords: perturbation of a pure-feedback system
reviewed by: Octavian Pastravanu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1081896