Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

被引:8
|
作者
Stoorvogel, AA
Saberi, A
Shi, GY
机构
[1] Delft Univ Technol, Dept Elect Engn Math & Comp Sci, NL-2600 GA Delft, Netherlands
[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
[3] Washington State Univ, Sch Elect Engn & Comp Sci, Pullman, WA 99164 USA
[4] Univ Washington, Dept Elect Engn, Seattle, WA 98195 USA
关键词
linear systems; state constraints; input constraints; stabilization; recoverable region;
D O I
10.1016/j.automatica.2004.04.008
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semiglobally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, when trying to compute the recoverable region, a reduction technique shows that we only need to compute the recoverable region for a system of lower dimension which generally leads to a considerable simplification in the computational effort. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1481 / 1494
页数:14
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