Positive real analysis on the uncertain discrete-time singular system

Author

Li, Yang ; Yingchao, Wang ; Peiyong, Liu

Author_Institution

Sch. of Math., Liaoning Univ., Shenyang, China

fYear

2012

fDate

25-27 July 2012

Firstpage

2836

Lastpage

2840

Abstract

Based on the generalized quadratic stability and ESPR of general discrete-time singular system, the sufficient and necessary condition of quadratic admissibility and SPR of uncertain discrete-time singular system is proposed. By introducing augmented system, the research is carried out by transforming the PR analysis and design of uncertain discrete-time singular system to certain discrete-time singular system. At last, comprehensive method of designing the state feedback robust SPR controller of the uncertain discrete-time singular system is proposed, and then the correctness of the method is proved through numerical examples.

Keywords

discrete time systems; numerical analysis; robust control; state feedback; uncertain systems; ESPR; augmented system; generalized quadratic stability; positive real analysis; state feedback robust SPR controller; uncertain discrete-time singular system; Closed loop systems; Equations; Robustness; State feedback; Symmetric matrices; Uncertain systems; Uncertainty; Discrete-time singular system; Extended Strict Positive Real (ESPR); Generalized quadratic stability; Positive real (PR); State feedback robust strict positive real controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390406