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., Alberta Univ., Edmonton, Alta., Canada

fYear

2005

fDate

8-10 June 2005

Firstpage

633

Abstract

We consider the stabilization problem for a kind of networked control systems in discrete-time domain with random delays. The sensor-to-controller and controller-to-sensor 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 the stabilizing controllers are established. It is shown that the state-feedback gains are different with different modes. An iterative linear matrix inequality (LMI) approach is employed to calculate the state-feedback gains.

Keywords

Markov processes; adaptive control; closed loop systems; controller area networks; delay systems; iterative methods; linear matrix inequalities; linear systems; predictive control; sensors; stability; state feedback; telecommunication control; Markov chains; closed-loop systems; iterative linear matrix inequality; jump linear systems; networked control systems; random delays; stabilization; state feedback gain; Communication system control; Control systems; Delay effects; Delay systems; Design engineering; Linear systems; Networked control systems; Sampling methods; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470028

Filename

1470028