Analysis of uncertain singular bilinear systems based on passivity theory

Author

Yiwen, Qi ; Xian, Zhang ; Guodong, Song

Author_Institution

Sch. of Math. Sci., Heilongjiang Univ., Harbin

fYear

2008

fDate

16-18 July 2008

Firstpage

134

Lastpage

137

Abstract

The robust passivity for discrete-time singular bilinear systems with uncertain parameters under exogenous inputs is studied. By means of linear matrix inequalities, a sufficient condition is given for uncertain discrete-time singular bilinear systems to be generalized quadratically stable and strictly passive. From which, a sufficient condition is given for the existence of the state feedback control law, such that the resulting closed-loop systems is both generalized quadratically stable and strictly passive.

Keywords

bilinear systems; closed loop systems; discrete time systems; robust control; state feedback; uncertain systems; closed-loop systems; generalized quadratically stable; linear matrix inequalities; robust passivity; state feedback control law; uncertain discrete-time singular bilinear systems; uncertain parameters; uncertain singular bilinear systems; Control systems; Linear matrix inequalities; Nonlinear systems; Robustness; State feedback; Sufficient conditions; Uncertain systems; Bilinear systems; Discrete-time singular systems; Generalized quadratically stable; Robustness; Strict passivity; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605705

Filename

4605705