Stabilization of linear time-varying descriptor systems: A linear matrix differential inequality approach

Author

Inoue, Masaki ; Wada, Teruyo ; Ikeda, Masao ; Uezato, Eiho

Author_Institution

Dept. of Mech. Eng., Osaka Univ., Suita

fYear

2008

Firstpage

1855

Lastpage

1860

Abstract

This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is presented as solvability of a linear matrix differential inequality. Then, the stability condition is utilized to derive a feedback control law for stabilization of the descriptor system. The proposed feedback gain extracts the dynamic component of the descriptor variable. A numerical example is presented.

Keywords

asymptotic stability; differential equations; linear matrix inequalities; linear systems; time-varying systems; exponential stability; feedback control law; linear matrix differential inequality approach; linear time-varying descriptor systems; stability condition; Automatic control; Automation; Control systems; Erbium; Feedback; Linear matrix inequalities; Matrix decomposition; Mechanical engineering; Stability; Time varying systems; linear matrix differential inequalities; linear time-varying descriptor systems; stability; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems, 2008. ICCAS 2008. International Conference on

Conference_Location

Seoul

Print_ISBN

978-89-950038-9-3

Electronic_ISBN

978-89-93215-01-4

Type

conf

DOI

10.1109/ICCAS.2008.4694401

Filename

4694401