Global regulation for nonlinear systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 0995.93035
author: Liangui Wang
author: Shumin Fei
publication date: 2001-10-10T00:00:00Z
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1654919
zbMATH Keywords: nonlinear systems
zbMATH Keywords: global regulation
MaRDI profile type: Publication
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title: Global regulation for nonlinear systems
published in: Control Theory \& Applications
review text: The global regulation of the system NEWLINE\[NEWLINE\begin{aligned} \dot x & = f(x,w,u),\\ \dot w & = r(w)\\ e & =h(x,w)\end{aligned}NEWLINE\]NEWLINE is shown to be solvable by state feedback iff there exist mappings \(c,S\) such that NEWLINE\[NEWLINE\begin{aligned} {\partial S(w) \over \partial w}r(w) & = f\bigl(S(w),w,c(w)\bigr),\;w\in\mathbb{R}^r\\ h\bigl(S(w), w\bigr) & =0.\end{aligned}NEWLINE\]NEWLINE This generalises the local result of Isidori and Byrnes.
reviewed by: S. P. Banks
description: scientific article; zbMATH DE number 1654919