Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback

被引：8

作者：

Wang, Xu ^{[1
]}

Saberi, Ali ^{[1
]}

Stoorvogel, Anton A. ^{[2
]}

Grip, Havard Fjaer ^{[1
]}

机构：

[1] Washington State Univ, Sch Elect Engn & Comp Sci, Pullman, WA 99164 USA

[2] Univ Twente, Dept Elect Engn Math & Comp Sci, NL-7500 AE Enschede, Netherlands

来源：

AUTOMATICA | 2012年 / 48卷 / 02期

关键词：

Double integrator; Input saturation; External disturbances; EXTERNAL STABILITY; CONTROL LAWS; STABILIZATION; SUBJECT;

D O I：

10.1016/j.automatica.2011.07.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the response to external disturbances of a double integrator with a saturating feedback. For a class of disturbances that have bounded integrals over all intervals, we show that a linear static feedback law can always be designed to ensure boundedness of the states. Moreover, boundedness can be preserved if the disturbance is biased by a small DC signal. In the special case that the disturbance is made up of a finite number of sinusoids and a small bias, any linear static feedback ensures boundedness of the states. These results are an extension of previous results by Wen, Roy, and Saberi (2008). (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：430 / 435

页数：6

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