A control problem for affine dynamical systems on a full-dimensional polytope

被引：132

作者：

Habets, LCGJM

van Schuppen, JH

机构：

[1] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands

[2] CWI, NL-1090 GB Amsterdam, Netherlands

来源：

AUTOMATICA | 2004年 / 40卷 / 01期

关键词：

affine systems; piecewise-linear systems; polytope; facet; reachability; control law;

D O I：

10.1016/j.automatica.2003.08.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Given an affine system on a full-dimensional polytope, the problem of reaching a particular facet of the polytope, using continuous piecewise-affine state feedback is studied. Necessary conditions and sufficient conditions for the existence of a solution are derived in terms of linear inequalities on the input vectors at the vertices of the polytope. Special attention is paid to affine systems on full-dimensional simplices. In this case, the necessary and sufficient conditions are equivalent and a constructive procedure yields an affine feedback control law, that solves the reachability problem under consideration. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：21 / 35

页数：15

共 31 条

[21] REMARKS ON PIECEWISE-LINEAR ALGEBRA [J].