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Reduced-Order Partially Mode-Dependent Energy-to-Peak Filter Design for Discrete-Time Markov Jump Systems Subject to Quantizer Faults and State-Dependent Noises

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Abstract

This paper investigates the reduced-order energy-to-peak filter design problem of discrete-time Markov jump systems with partially unknown transition probabilities, random quantizer faults and state-dependent disturbances. Attention is focused on the design of a reduced-order partially mode-dependent filter to mitigate quantization effect and stochastic disturbance, and ensure a prescribed energy-to-peak noise attenuation level. Via using the partly mode-dependent Lyapunov function, sufficient conditions for the existence of the filter are expressed in terms of linear matrix inequalities. Finally, three numerical examples are provided to demonstrate the effectiveness of the proposed approach.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China Grant \(61273164\) and \(61034005\), the National High Technology Research and Development Program of China Grant \(2012AA040104\), Fundamental Research Funds for the Central Universities Grant \((N130104001\) and \(N120504002\), the Liaoning Province Natural Science Foundation of China Grant \(2013020042\), and Liaoning Excellent Talents in University Grant \(LJQ2012095\).

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang , 110819, People’s Republic of China

    Kezhen Han & Jian Feng

  2. College of Engineering, Bohai University, Jinzhou , 121013, People’s Republic of China

    Xiaoheng Chang

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  1. Kezhen Han
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  2. Jian Feng
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  3. Xiaoheng Chang
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Correspondence to Jian Feng.

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Han, K., Feng, J. & Chang, X. Reduced-Order Partially Mode-Dependent Energy-to-Peak Filter Design for Discrete-Time Markov Jump Systems Subject to Quantizer Faults and State-Dependent Noises. Circuits Syst Signal Process 34, 77–103 (2015). https://doi.org/10.1007/s00034-014-9841-2

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  • DOI: https://doi.org/10.1007/s00034-014-9841-2

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