Title :
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
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;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470028
