Pole-placement for a class of singular system simultaneous stabilization

Author

Ma, First A Jing ; Gao, Second B Zhiwei

Author_Institution

Sch. of Control Sci. & Eng., Univ. of Jinan, Jinan, China

fYear

2011

fDate

23-25 May 2011

Firstpage

1656

Lastpage

1660

Abstract

In the paper, stable factorization theory and state-space realization have been used to analyze a class of singular system. First the pole-placement problem is analyzed for stabilization of one singular system. Then, parameterization of all simultaneous stabilizing controllers for a set of singular plants has been proposed in term of stable inverses and stable null spaces, which is shown to have a structure similar to the controller parameterized results for one singular plant. Finally the pole-placement problem for simultaneous stabilization of a class of singular system is proposed, which is an extension of result for the pole-placement problem for one singular system stabilization. The results are illustrated by an example.

Keywords

linear systems; stability; state-space methods; pole-placement; simultaneous stabilization; singular system; stable factorization theory; state-space realization; Argon; Control systems; Eigenvalues and eigenfunctions; Feedback loop; Null space; Observers; Transfer functions; generalized controller; generalized observer; pole-placement; simultaneous stabilization; singular system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968460

Filename

5968460