Stability of discrete-time linear system with two delays and application to network control system

Author

Haiwa, Guan ; Lixin, Gao ; Min, Xie

Author_Institution

Inst. of Oper. Res. & Control Sci., Wenzhou Univ., Wenzhou

fYear

2008

fDate

2-4 July 2008

Firstpage

619

Lastpage

624

Abstract

The stability of discrete-time linear system with two delays and application to network control system is discussed. For a discrete-time linear system with state delay, there exists two channels from which signal of the state transmit from system to controller. One is input into controller directly, the other is transmitted via network. Network transmission usually generates time delay, then the close-loop system can be regarded as a discrete-time linear system with two delays. Based on Lyapunov stability theory, a sufficient condition to guarantee the system stabilization is obtained. By introducing some new variables, the derived stability condition is formulated in terms of linear matrix inequalities (LMIs) and their solutions provide a representation of the controller. Finally, two examples are given to illustrate the developed results.

Keywords

Lyapunov methods; closed loop systems; control engineering computing; delays; discrete time systems; linear matrix inequalities; linear systems; stability criteria; Lyapunov stability theory; close-loop system; discrete-time linear system stability; linear matrix inequality; network control system; state delay; time delay; Control systems; Delay systems; Electronic mail; Linear matrix inequalities; Linear systems; Lyapunov method; Operations research; Stability; Sufficient conditions; Discrete-time System; Network Control; Stability; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597388

Filename

4597388