Regularization of descriptor systems by output feedback

Author

Bunse-Gerstner, Angelika ; Mehrmann, Volker ; Nichols, Nancy K.

Author_Institution

Fachbereich Math. und Inf., Bremen Univ., Germany

Volume

39

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

1742

Lastpage

1748

Abstract

Conditions are given under which a descriptor, or generalized state-space system can be regularized by output feedback. It is shown that under these conditions, proportional and derivative output feedback controls can be constructed such that the closed-loop system is regular and has index at most one. This property ensures the solvability of the resulting system of dynamic-algebraic equations. A reduced form is given that allows the system properties as well as the feedback to be determined. The construction procedures used to establish the theory are based only on orthogonal matrix decompositions and can therefore be implemented in a numerically stable way

Keywords

closed loop systems; feedback; matrix algebra; closed-loop system; derivative control; descriptor systems; dynamic-algebraic equations; generalized state-space system; orthogonal matrix decompositions; output feedback; proportional control; reduced form; regularization; Adaptive control; Automatic control; Control system analysis; Control systems; Convergence; Error correction; Linear systems; Output feedback; Programmable control; Robustness;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.310065

Filename

310065