Sliding mode control of Markovian jump systems with limited capacity channel

This paper investigates the proglem of robust quantized sliding mode control for continuous-time Markovian jump systems. A filtering-based technique is proposed to render strictly continuous signals from piecewise quantized signals, based on which a sliding mode observer scheme is developed to obtain the asymptotic estimation of system state. Then, an observer-based control scheme is proposed to stabilize the resulting quantized closed-loop systems. Finally, a numerical example is presented to illustrate the effectiveness of the designed quantized control approach.