On the discretization of switched linear systems

被引：16

作者：

Pietrus, Alain ^{[2
]}

Veliov, Vladimir M. ^{[1
,3
]}

机构：

[1] Vienna Univ Technol, Inst Math Methods Econ, Argentinierstr 8-119, A-1040 Vienna, Austria

[2] Univ Antilles Guyane, Dept Math, Lab AOC, F-97157 Pointe A Pitre, Guadeloupe, France

[3] BAS, Inst Math & Informat, Sofia 1113, Bulgaria

来源：

SYSTEMS & CONTROL LETTERS | 2009年 / 58卷 / 06期

基金：

奥地利科学基金会;

关键词：

Switched control systems; Bilinear control systems; Discrete approximations; Relaxation; APPROXIMATION;

D O I：

10.1016/j.sysconle.2009.01.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A bilinear single-control system which can be viewed as a control formulation of a linear switched system is considered. The control is restricted to take values either (i) in {0, 1} (switched system), or (ii) in [0, 1] (relaxed system). In more practical considerations the control is often allowed to change only at the points of a given time-net with a step length h. The paper investigates what is the approximation error in terms of the reachable set in the two cases (i) and (ii). The error estimates that follow directly from known results are of order root h and h, respectively. In the present paper estimations of order h and h(1.5) are proved in a constructive way. The second one makes use of the effect of non-accumulation of errors established earlier by the second author. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：395 / 399

页数：5

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