Simultaneous stabilization by static output feedback: a rank-constrained LMI approach

Author

Kim, Seog-Joo ; Moon, Young-Hyun ; Kwon, Soonman

Author_Institution

Korea Electrotechnol. Res. Inst., Kyungnam

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

5162

Lastpage

5167

Abstract

This paper presents a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant systems. The problem is formulated as a novel rank-constrained LMI feasibility problem with a nonconvex rank condition, and is solved using an iterative penalty function method. Numerical experiments are performed to illustrate the proposed method

Keywords

control system synthesis; feedback; linear matrix inequalities; stability; LMI feasibility problem; iterative penalty function; linear matrix inequality; linear time-invariant systems; numerical experiments; rank-constrained LMI approach; simultaneous stabilization; static output feedback controller; Control systems; Control theory; Iterative methods; Linear feedback control systems; Linear matrix inequalities; Moon; Output feedback; Robust control; Symmetric matrices; USA Councils; Linear matrix inequality (LMI); penalty function method; simultaneous stabilization; static output feedback (SOF);

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.376683

Filename

4177265