Stability, l1-gain analysis and control synthesis for delayed discrete-time positive switched systems

Author

Mei Xiang ; 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 presents the exponential stability, l₁-gain analysis and control synthesis problems for discrete-time positive switched linear systems with time-varying delays. By using the methods of average dwell time, sufficient stability conditions are proposed and expressed as linear matrix inequalities (LMIs). Based on the obtained results, an effective method which is used for the construction of stabilizing feedback controller is derived, and a numerical example is provided to show the potential of the developed results.

Keywords

asymptotic stability; control system synthesis; delays; discrete time systems; feedback; linear matrix inequalities; linear systems; time-varying systems; LMI; control synthesis; discrete-time positive switched linear systems; exponential stability; feedback controller; l₁-gain analysis; linear matrix inequalities; time-varying delays; discrete-time positive switched linear systems; exponential stability; feedback controller; l1-gain; time-varying delays;

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.2012.6502464

Filename

6502464