Controllability analysis of linear time-invariant descriptor systems

Vikas Kumar Mishra; Nutan Kumar Tomar

doi:10.1016/j.ifacol.2016.03.109

Controllability analysis of linear time-invariant descriptor systems

Vikas Kumar Mishra, Nutan Kumar Tomar

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 control-lability 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.

Original language	English
Pages (from-to)	532-536
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2016.03.109
State	Published - 1 Jan 2016
Externally published	Yes

Keywords

Controllability
Descriptor systems
Feedback
Singular value decomposition

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2016.03.109

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AB - 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 control-lability 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.

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KW - Descriptor systems

KW - Feedback

KW - Singular value decomposition

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Controllability analysis of linear time-invariant descriptor systems

Abstract

Keywords

ASJC Scopus subject areas

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