| 引用本文: | 王振华,沈毅,郭胜辉.线性广义系统的区间观测器设计[J].控制理论与应用,2018,35(7):956~962.[点击复制] |
| WANG Zhen-hua,SHEN Yi,Guo Sheng-hui.Interval observer design for linear descriptor systems[J].Control Theory and Technology,2018,35(7):956~962.[点击复制] |
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| 线性广义系统的区间观测器设计 |
| Interval observer design for linear descriptor systems |
| 摘要点击 2908 全文点击 1546 投稿时间：2017-05-16 修订日期：2017-12-01 |
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| DOI编号 10.7641/CTA.2017.70328 |
| 2018,35(7):956-962 |
| 中文关键词 广义系统 区间观测器 直接设计法 线性系统 |
| 英文关键词 descriptor systems interval observer direct design method linear systems |
| 基金项目 国家自然科学基金项目(61773145, 61703296), 中央高校基本科研业务费专项资金(HIT.KLOF.2015.076)资助. |
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| 中文摘要 |
| 本文研究了连续时间线性广义系统的区间观测器设计问题. 首先根据正系统的稳定性判据提出了一种基于线
性矩阵不等式的广义区间观测器直接设计法, 然后通过引入更多的设计自由度进一步放宽了区间观测器的设计条件, 扩
大了设计方法的适用范围. 所提出的设计方法无需坐标变换, 是一种直接设计方法. 最后, 通过两个仿真算例验证了所
提出方法的有效性. |
| 英文摘要 |
| This paper studies observer design for continuous-time linear descriptor systems. Based on the stability
of positive system, a linear matrix inequality based direct design method of interval observer is proposed for descriptor
systems. The proposed method is further improved by introducing more degrees of design freedom to obtain relaxed design
conditions and a broader application scope of the interval observer. The proposed method is independent of coordinate
transformation and is a direct design approach. Finally, two numerical examples are simulated to verify the effectiveness
of the proposed method. |