Network-Based Filtering for Stochastic Markovian Jump Systems with Application to PWM-Driven Boost Converter

This paper investigates the filtering problem for a class of stochastic jump systems over network communication channel. The plant under consideration is a class of Markovian jump systems with state-dependent noise. The network communication links between the plant and filter are impact, and the effects of network-induced transmission delay and sensor saturation are taken into simultaneous consideration. The main difficulty in this filtering problem is that there exists transmission delay in the received mode signals of the filter side, which results in that the real-time information of jump mode r_k is not accessible. To overcome this obstacle, in this paper, an state space augmentation approach is developed for the jumping mode r(k), based on which the resulting filtering dynamics is modeled as a new Markovian jump system with two jumping parameters. A mode-dependent filtering scheme is then developed to guarantee that the resulting overall system is stochastically stable with a guaranteed H_∞ performance index. Finally, a numerical example of pulse-width-modulation-driven boost converter is included to show the effectiveness of the networked filtering design strategy.