A new approach to H∞ output feedback control of singular systems

Author

Shuhui Shi ; Yuan, Zhonghu ; Zhang, QingLing ; Liu, Peng ; Yi, Na

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

Volume

2

fYear

2010

fDate

6-7 March 2010

Firstpage

405

Lastpage

408

Abstract

A more simpler-to-solve approach to H_∞ output feedback control for singular systems is proposed in this paper. Base on Projection lemma and Finsler´s lemma combined with linear matrix inequality (LMI) technique, strict LMI conditions are derived, under which the resulting closed-loop system guarantees the admissibility as well as a desire H_∞ performance level γ via static and dynamic output feedback, respectively. The proposed sufficient conditions do not require a state-coordinate transformation for the system, in the meantime, the decomposition of Lyapunov matrix and its inverse matrix is not introduced. The theoretical results are verified by means of an example.

Keywords

H^∞ control; closed loop systems; feedback; linear matrix inequalities; singularly perturbed systems; Finsler lemma; H_∞ output feedback control; closed-loop system; dynamic output feedback; linear matrix inequality technique; projection lemma; singular systems; static output feedback; Asia; Automatic control; Control systems; Linear feedback control systems; Linear matrix inequalities; Matrix decomposition; Null space; Output feedback; Robotics and automation; Sufficient conditions; H∞ control; dynamic output feedback; linear matrix inequality; singular systems; static output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Informatics in Control, Automation and Robotics (CAR), 2010 2nd International Asia Conference on

Conference_Location

Wuhan

ISSN

1948-3414

Print_ISBN

978-1-4244-5192-0

Electronic_ISBN

1948-3414

Type

conf

DOI

10.1109/CAR.2010.5456581

Filename

5456581