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Observer-based sliding mode control for Itô stochastic time-delay systems with limited capacity channel. (English) Zbl 1254.93048
Summary: This paper investigates the problem of sliding mode control for a class of Itô stochastic time-delay systems over network communication links. The signals between plant and controller are exchanged over limited capacity channels, and are subject to logarithmic quantization before being transmitted. The main difficulty in this networked control problem is that, a sliding mode surface cannot be designed based on quantized outputs $$q(y(t))$$ directly since $$q(y(t))$$ is piecewise constant and is not continuous in the quantizer switching times. To overcome this obstacle, in this paper, a state observer is designed to generate the estimation of system states, based on which a sliding mode controller is designed to stabilize the resulting closed-loop system. It is furthermore illustrated that the designing sliding mode controller can guarantee the reachability of the addressed sliding surface. A numerical simulation is performed to illustrate the effectiveness of the designed control technique.

##### MSC:
 93B12 Variable structure systems 93E03 Stochastic systems in control theory (general)
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##### References:
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