Observer design for discrete-time switched positive systems with time-varying delays

Author

Mingjie Cai ; Zhengrong Xiang

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2012

fDate

29-31 Aug. 2012

Firstpage

1

Lastpage

6

Abstract

This paper investigates the design problem of exponential positive observer for a class of discrete-time switched positive linear systems with time-varying delay. A sufficient exponential stability criterion is proposed in terms of linear matrix inequalities (LMIs) for the underlying system under average dwell time switching. Then, based on the stability results, sufficient conditions for the existence of exponential positive observers are established. A numerical example is given to show the effectiveness of the proposed results.

Keywords

asymptotic stability; control system synthesis; delays; discrete time systems; linear matrix inequalities; linear systems; observers; time-varying systems; LMI; average dwell time switching; discrete-time switched positive linear systems; exponential positive observer design problem; exponential stability criterion; linear matrix inequalities; time-varying delay; Lyapunov-Krasovskii function; average dwell time (ADT); exponential stability; linear matrix inequality(LMI); multiple co-positive Lyapunov function; switched positive system; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Computer Science (ICSCS), 2012 1st International Conference on

Conference_Location

Lille

Print_ISBN

978-1-4673-0673-7

Electronic_ISBN

978-1-4673-0672-0

Type

conf

DOI

10.1109/IConSCS.2012.6502468

Filename

6502468