A New Method for Stabilization of Networked Control Systems With Random Delays

Author

Zhang, Liqian ; Shi, Yang ; Chen, Tongwen ; Huang, Biao

Author_Institution

Dept. of Chem. & Mater. Eng., Univ. of Alberta, Edmonton, Alta., Canada

Volume

50

Issue

8

fYear

2005

Firstpage

1177

Lastpage

1181

Abstract

We consider the stabilization problem for a class of networked control systems in the discrete-time domain with random delays. The sensor-to-controller and controller-to-actuator delays are modeled as two Markov chains, and the resulting closed-loop systems are jump linear systems with two modes. The necessary and sufficient conditions on the existence of stabilizing controllers are established. It is shown that state-feedback gains are mode-dependent. An iterative linear matrix inequality (LMI) approach is employed to calculate the state-feedback gains.

Keywords

Markov processes; closed loop systems; delays; discrete time systems; distributed control; iterative methods; linear matrix inequalities; linear systems; stability; state feedback; Markov chains; closed loop system; controller to actuator delay; discrete time domain; iterative linear matrix inequality; jump linear system; networked control system; random delays; sensor to controller delay; stabilization; state feedback; Actuators; Communication system control; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Networked control systems; Sampling methods; Stability; Discrete-time systems; Markov chains; linear matrix inequality (LMI); network-induced delays; networked control systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.852550

Filename

1492560