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Improved H ∞ Filtering for Systems with a Time-Varying Delay

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Abstract

This paper focuses on H ∞ filter design for systems with time-varying delay. A delay-dependent H ∞ performance analysis result is first established for error systems without ignoring any terms in the derivative of the Lyapunov functional by considering the relationship between the time-varying delay and its upper bound. Based on the derived H ∞ performance analysis result, the H ∞ filter is designed in terms of linear matrix inequalities (LMIs). The resulting criteria are extended to systems with polytopic-type uncertainties. Numerical examples are given to demonstrate the merits of the proposed method.

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Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    Yong He & Min Wu

  2. Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK

    G. P. Liu & D. Rees

  3. CTGT Center, Harbin Institute of Technology, Harbin, 150001, China

    G. P. Liu

Authors
  1. Yong He
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  2. G. P. Liu
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  3. D. Rees
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  4. Min Wu
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Corresponding author

Correspondence to Yong He.

Additional information

This work was supported in part by the National Science Foundation of China under Grants 60974026 and 60425310 and by the Doctor Subject Foundation of China under Grant 200805330004, in part by the Program for New Century Excellent Talents in University under Grant No. NCET-06-0679, and in part by the Hunan Provincial Natural Science Foundation of China under Grant 08JJ1010.

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He, Y., Liu, G.P., Rees, D. et al. Improved H ∞ Filtering for Systems with a Time-Varying Delay. Circuits Syst Signal Process 29, 377–389 (2010). https://doi.org/10.1007/s00034-010-9149-9

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  • DOI: https://doi.org/10.1007/s00034-010-9149-9

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