线性广义系统的区间观测器设计  

Interval observer design for linear descriptor systems

作　　者：王振华[1] 沈毅[1] 郭胜辉 WANG Zhen-hua;SHEN Yi;GUO Sheng-hui(School of Astronautics,Harbin Institute of Technology,Harbin Heilongjiang 150001,China;College of Electronics and Information Engineering,Suzhou University of Science and Technology,Suzhou Jiangsu 215009)

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [2]苏州科技大学电子与信息工程学院,苏州江苏215009

出　　处：《控制理论与应用》2018年第7期956-962,共7页Control Theory & Applications

基　　金：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~~

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.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.

关 键 词：广义系统 区间观测器 直接设计法 线性系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]