Output feedback stabilization of positive switching linear discrete-time systems

Author

Benzaouia, Abdellah ; Tadeo, Fernando

Author_Institution

Dep. of Phys., Univ. Cadi Ayyad, Marrakech

fYear

2008

fDate

25-27 June 2008

Firstpage

119

Lastpage

124

Abstract

The problem of stabilizing positive switching discrete-time systems by output feedback is studied and solved in this paper. First, necessary and sufficient conditions for the existence of such controllers are presented for non-switching positive systems, which are then extended to positive switching systems. The proposed conditions, formulated as LMIs, can be directly used for controller synthesis. An example made up of three subsystems is studied to show the applicability of the proposed technique.

Keywords

control system synthesis; discrete time systems; feedback; linear matrix inequalities; linear systems; stability; time-varying systems; LMI; controller synthesis; nonswitching positive system; output feedback stabilization; positive switching linear discrete-time system; Asymptotic stability; Control system synthesis; Control systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Output feedback; Sufficient conditions; Switched systems; Switching systems; Linear Matrix Inequalities; Positive systems; asymptotic stability; output feedback control; switching systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602046

Filename

4602046