Stabilization of affine systems by bounded control
type: Item
instance of: scholarly article
title: Stabilization of affine systems by bounded control
zbMATH Open document ID: 1017.93084
DOI: 10.1023/A:1013829718911
author: D. A. Sidorov
author: S. B. Tkachev
published in: Computational Mathematics and Modeling
publication date: 2003-06-26T00:00:00Z
review text: The authors consider the control of \[ \dot x_{i} = x_{i+1},\quad i=1,\ldots,n-1, \qquad \dot x_{n} = f(x) + g(x)u(t),\quad |u(t)|\leq u_{*} \] with \(f,g\in C^{\infty}(\Omega)\). Introducing the auxiliary control \[ w=f(x) + g(x)u, \] the constrained control \(w\) is synthezised for the linearized system \[ \dot x_{i} = x_{i+1},\quad i=1,\ldots,n-1, \qquad\dot x_{n} = w,\quad |w|\leq u_{**}, \] and then \(u\) is computed. Feasibility conditions are deduced.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 1940514
zbMATH Keywords: linearized constrained control
zbMATH Keywords: affine systems
reviewed by: Vladimir Răsvan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940514