Constrained control of delayed discrete-time positive systems

Author

Liu, Xingwen

Author_Institution

Inst. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu

fYear

2008

fDate

25-27 May 2008

Firstpage

1135

Lastpage

1139

Abstract

This paper addresses the stability and stabilization problem of a class of discrete-time linear systems with delays, under positivity restriction. A controller is designed for guaranteeing asymptotical stability and positivity of the resulted closed-loop systems. The necessary and sufficient conditions for the existence of such a controller proposed in terms of a set of linear matrix inequalities (LMIs), and the method of how to figure out the controller, if it exists, is provided. In addition, some sufficient stability and stabilization conditions are also established for delayed systems with uncertainties.

Keywords

asymptotic stability; closed loop systems; control system synthesis; delays; discrete time systems; linear matrix inequalities; linear systems; asymptotical stability; closed- loop systems; constrained control; delayed discrete-time positive systems; discrete-time linear systems; linear matrix inequalities; Asymptotic stability; Control system synthesis; Control systems; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Lyapunov method; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on

Conference_Location

Fujian

Print_ISBN

978-1-4244-2063-6

Electronic_ISBN

978-1-4244-2064-3

Type

conf

DOI

10.1109/ICCCAS.2008.4657967

Filename

4657967