Controllability Analysis of Linear Time-Invariant Descriptor Systems

被引：2

作者：

Mishra, Vikas Kumar ^{[1
]}

Tomar, Nutan Kumar ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Patna, Bihar, India

来源：

IFAC PAPERSONLINE | 2016年 / 49卷 / 01期

关键词：

Descriptor Systems; Singular Value Decomposition; Controllability; Feedback; SINGULAR SYSTEMS; OBSERVABILITY; SOLVABILITY; FEEDBACK;

D O I：

10.1016/j.ifacol.2016.03.109

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A canonical form for general linear time-invariant descriptor systems has been developed. Using this, it has been proved that complete controllability is equivalent to the reachable controllability plus controllability at infinity for general descriptor systems. Further, it has been proved that complete controllability is invariant under derivative as well as proportional state feedback while strong controllability is preserved under proportional state feedback but is not necessarily retained under derivative feedback. It is noteworthy that the aforesaid results are available for regular descriptor systems. We have extended these results for general descriptor systems. Examples are provided to illustrate the presented theory. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：532 / 536

页数：5

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