Robust normalization and stabilization of Uncertain Descriptor systems with norm-Bounded Perturbations

Author

Lin, Chong ; Wang, Qing-Guo ; Lee, Tong Heng

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

50

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

515

Lastpage

520

Abstract

This note is concerned with the problem of the so-called quadratic normalization and stabilization via both proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF) for uncertain descriptor systems with norm-bounded perturbations. Necessary and sufficient conditions are presented in terms of linear matrix inequalities (LMIs) or quadratic matrix inequalities (QMIs), by using a simple idea of changing the problem to the corresponding stabilization problem of an augmented uncertain system.

Keywords

linear matrix inequalities; perturbation techniques; stability; state feedback; uncertain systems; augmented uncertain system; linear matrix inequalities; norm-bounded perturbation; output feedback; proportional and derivative state feedback; quadratic matrix inequalities; robust normalization; uncertain descriptor system stabilization; Automatic control; Control systems; Controllability; Feedback; Nonlinear control systems; Nonlinear systems; Optimized production technology; Robust control; Robustness; Stability criteria; Descriptor systems; norm-bounded perturbation; normalization; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.844908

Filename

1412011