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Asynchronous filtering for 2-D switched systems with missing measurements

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Abstract

This work is concerned with \(\mathscr {H}_{\infty }\) filter design with missing measurements for a class of two-dimensional (2-D) switched systems represented by Fornasini–Marchesini local state-space model. The switching signal of the switched filters involve time delays, which result in the asynchronism between the filter and the system switching. The issues of asymptotic mean-square stability and \(\ell _{2}\)-gain analysis for the 2-D switched systems are addressed firstly, based on which mode-dependent filters are designed with mode-dependent average dwell time scheme. Finally, two examples are given to demonstrate the validity of the proposed technique.

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Authors and Affiliations

  1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150000, China

    Shuang Shi & Yujunrong Ma

  2. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150000, China

    Shunqing Ren

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  1. Shuang Shi
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  2. Yujunrong Ma
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  3. Shunqing Ren
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Correspondence to Shuang Shi.

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Shi, S., Ma, Y. & Ren, S. Asynchronous filtering for 2-D switched systems with missing measurements. Multidim Syst Sign Process 30, 543–560 (2019). https://doi.org/10.1007/s11045-018-0569-1

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  • DOI: https://doi.org/10.1007/s11045-018-0569-1

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