On Controllability and Normalizability for Linear Descriptor Systems

Vikas Kumar Mishra; Nutan Kumar Tomar; Mahendra Kumar Gupta

doi:10.1007/s40313-015-0218-y

On Controllability and Normalizability for Linear Descriptor Systems

Vikas Kumar Mishra, Nutan Kumar Tomar, Mahendra Kumar Gupta

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

12 Scopus citations

Abstract

Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration.

Original language	English
Pages (from-to)	19-28
Number of pages	10
Journal	Journal of Control, Automation and Electrical Systems
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s40313-015-0218-y
State	Published - 1 Feb 2016
Externally published	Yes

Keywords

Controllability
Descriptor systems
Feedback control design
Singular value decomposition

ASJC Scopus subject areas

Control and Systems Engineering
Energy Engineering and Power Technology
Computer Science Applications
Electrical and Electronic Engineering

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10.1007/s40313-015-0218-y

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title = "On Controllability and Normalizability for Linear Descriptor Systems",

abstract = "Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration.",

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AU - Gupta, Mahendra Kumar

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N2 - Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration.

AB - Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration.

KW - Controllability

KW - Descriptor systems

KW - Feedback control design

KW - Singular value decomposition

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ER -

On Controllability and Normalizability for Linear Descriptor Systems

Abstract

Keywords

ASJC Scopus subject areas

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