连续切换非方广义线性系统的观测器设计

J4 ›› 2014, Vol. 36 ›› Issue (06): 1204-1208.

连续切换非方广义线性系统的观测器设计

范子荣1,滕青芳2

(1.山西大同大学煤炭工程学院，山西大同 037003；2.兰州交通大学自动化与电气工程学院，甘肃兰州 730070)

收稿日期:2013-01-07 修回日期:2013-03-25 出版日期:2014-06-25 发布日期:2014-06-25

Design of observers for continuous switched
non-regular descriptor linear systems

FAN Zirong1,TENG Qingfang2

(1.School of Coal Engineering,Shanxi Datong University,Datong 037003;
2.School of Automation and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

Received:2013-01-07 Revised:2013-03-25 Online:2014-06-25 Published:2014-06-25

摘要/Abstract

摘要：

针对一类连续切换非方广义线性系统，设计了广义状态观测器，并分析了状态估计误差的稳定性。首先通过矩阵的初等变换将连续切换非方广义线性系统的观测器设计问题转换为连续切换广义线性系统的观测器设计问题，之后设计第i个子系统的子观测器，可根据第i个子观测器构造这个广义切换系统的观测器。当观测器是全维观测器，且每个子系统都可检测时，状态估计误差甚至可以在任意切换下指数收敛到零。最后，通过数值实例和Matlab仿真分析说明了观测器设计方法简单可行，观测误差较其他方法的收敛速度快，证实了该方法的有效性和正确性。

关键词: 连续切换线性非方广义系统, 观测器, 子观测器, 状态估计误差

Abstract:

Based on a class of continuous switched non-regular descriptor linear systems, the descriptor observers are designed and the stability of their state error is analyzed. Firstly, through the elementary transformation of matrix, an equivalent system is derived. Secondly, the subobserver of the No. i subsystem is designed. The observers of the switched descriptor systems can be constructed by using the No. i sub-observer. If observers are fulldimensional and each subsystem is checked, the state estimate error can converge to zero under arbitrary switching. Finally, a numerical case and the Matlab simulation illustrate that the proposed approach is simple and viable. Error observation can converge to zero more quickly than other approaches. Therefore, the approach is efficient and correct.

Key words: continuous switched non-regular descriptor linear system;observer;sub-observer;state estimate error

范子荣1,滕青芳2. 连续切换非方广义线性系统的观测器设计[J]. J4, 2014, 36(06): 1204-1208.

FAN Zirong1,TENG Qingfang2. Design of observers for continuous switched
non-regular descriptor linear systems [J]. J4, 2014, 36(06): 1204-1208.

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