Synthesis of proportional-plus-derivative feedbacks for descriptor systems

Author

Le, Viet X.

Author_Institution

Hughes Aircraft Co., Los Angeles, CA, USA

Volume

37

Issue

5

fYear

1992

fDate

5/1/1992 12:00:00 AM

Firstpage

672

Lastpage

675

Abstract

A construction for proportional-plus-derivative (PD) feedback for descriptor (or singular) systems is given. It is shown that, under the assumption of controllability of the open-loop finite and (dynamic) infinite modes, feedback employing states and state derivatives can be constructed to shift all open-loop modes (finite as well as infinite) to desired finite points while ensuring the regularity of the closed-loop pencils. The construction reveals that the required state-derivative feedback is specified completely by the open-loop dynamic infinite-mode structures of the descriptor systems. This class of PD feedback circumvents certain difficulties associated with the construction for constant state-feedback

Keywords

control system synthesis; controllability; feedback; matrix algebra; two-term control; PD feedback; closed-loop pencils; control system synthesis; controllability; descriptor systems; open-loop finite modes; open-loop infinite modes; proportional-plus-derivative feedbacks; regularity; singular systems; state-derivative feedback; Airborne radar; Aircraft manufacture; Construction industry; Controllability; Electrical equipment industry; Feedback loop; History; PD control; State feedback; Writing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.135514

Filename

135514