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

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Abstract

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 \(H_{\infty }\) 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.

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Acknowledgements

This work was supported by the New Century Excellent Talents Program of the Ministry of Education of China (NCET-13-0170), the National Natural Science Foundation of China (61473096, 61273096, 61333003, 91438202) and the Open Fund of National Defense Key Discipline Laboratory of Micro-Spacecraft Technology (HIT.KLOF.MST.201505).

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Authors and Affiliations

  1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin, 150001, China

    Ming Liu

  2. The School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Wei Yang

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  1. Ming Liu
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  2. Wei Yang
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Correspondence to Ming Liu.

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Liu, M., Yang, W. Network-Based Filtering for Stochastic Markovian Jump Systems with Application to PWM-Driven Boost Converter. Circuits Syst Signal Process 36, 3071–3097 (2017). https://doi.org/10.1007/s00034-016-0452-y

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  • DOI: https://doi.org/10.1007/s00034-016-0452-y

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