Observers and Observer-Based Control for Descriptor Systems Revisited

Author

Darouach, Mohamed

Author_Institution

CRAN, Univ. de Lorraine, Cosnes et Romain, France

Volume

59

Issue

5

fYear

2014

fDate

May-14

Firstpage

1367

Lastpage

1373

Abstract

This technical note is devoted to the observers and observer-based control for linear descriptor systems. First, the complete proof of necessary and sufficient conditions for the existence of Luenberger observers for an arbitrary order is given, then the existence conditions for the controller based on these observers are presented in the LMI formulation. The design approach is simple and based on the new study of the constrained generalized Sylvester equations. It unifies all the observers and observer-based controllers of different orders. A numerical example is presented to illustrate our approach.

Keywords

control system synthesis; linear matrix inequalities; linear systems; observers; reduced order systems; LMI formulation; Luenberger observers; arbitrary order; constrained generalized Sylvester equations; design approach; existence conditions; linear descriptor systems; necessary conditions; observer-based control; reduced order; sufficient conditions; Closed loop systems; Eigenvalues and eigenfunctions; Equations; Observability; Observers; Standards; Vectors; Descriptor systems; existence conditions; full order; observer-based controller; reduced order;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2292720

Filename

6675018