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

共 50 条

[1] CONTROLLABILITY OF LINEAR TIME-INVARIANT SYSTEMS
AEYELS, D
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (06) : 2027 - 2034
[2] CONTROLLABILITY OF LINEAR TIME-INVARIANT SYSTEMS.
Aeyels, Dirk
[J]. 1600, (46):
[3] TESTING CONTROLLABILITY OF LINEAR TIME-INVARIANT SYSTEMS
BHANDARKAR, MV
FAHMY, MM
[J]. ELECTRONICS LETTERS, 1970, 6 (18) : 580 - +
[4] Ensemble Controllability of Time-Invariant Linear Systems
Qi, Ji
Li, Jr-Shin
[J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 2709 - 2714
[5] CYCLICITY AND CONTROLLABILITY IN LINEAR TIME-INVARIANT SYSTEMS
ANTSAKLIS, PJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (04) : 745 - 746
[6] CONTROLLABILITY OF GENERALIZED LINEAR TIME-INVARIANT SYSTEMS
AILON, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (05) : 429 - 432
[7] MORE ON THE CONTROLLABILITY OF LINEAR TIME-INVARIANT SYSTEMS
AILON, A
LANGHOLZ, G
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (04) : 1161 - 1176
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Chen, Shinn-Horng
Chou, Jyh-Horng
[J]. JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2013, 36 (05) : 672 - 676
[9] TRACKING CONTROL OF LINEAR TIME-INVARIANT DESCRIPTOR SYSTEMS
SCHILLING, RJ
HARRIS, SL
LOVASSNAGY, V
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1992, 23 (11) : 1953 - 1963
[10] CONTROLLABILITY AND OBSERVABILITY OF TIME-INVARIANT LINEAR DYNAMIC SYSTEMS
Bohner, Martin
Wintz, Nick
[J]. MATHEMATICA BOHEMICA, 2012, 137 (02): : 149 - 163

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