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Feedback design for regularizing descriptor systems

✍ Scribed by Angelika Bunse-Gerstner; Ralph Byers; Volker Mehrmann; Nancy K. Nichols

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
246 KB
Volume
299
Category
Article
ISSN
0024-3795

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✦ Synopsis

This paper surveys numerical techniques for the regularization of descriptor (generalized state-space) systems by proportional and derivative feedback. We review generalizations of controllability and observability to descriptor systems along with definitions of regularity and index in terms of the Weierstraß canonical form. Three condensed forms display the controllability and observability properties of a descriptor system. The condensed forms are obtained through orthogonal equivalence transformations and rank decisions, so they may be computed by numerically stable algorithms. In addition, the condensed forms display whether a descriptor system is regularizable, i.e., when the system pencil can be made to be regular

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