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A Delay Partitioning Approach to H ∞ Filtering for Continuous Time-Delay Systems

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Abstract

This paper investigates the problem of delay-dependent H ∞ filter design for continuous time-delay systems. Attention is focused on the design of linear filters guaranteeing a prescribed noise attenuation level in an H ∞ sense. The admissible filters can be obtained from the solution of a convex optimization problem in terms of linear matrix inequalities (LMIs), which can be readily solved via standard software. The crucial issue for solving the filter design problem is the utilization of the delay partitioning idea, which proves to be less conservative than most of the existing results, and the conservatism could be notably reduced by thinning the delay partitioning. Numerical examples are provided to show the effectiveness and the advantage of the proposed filter design method.

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Authors and Affiliations

  1. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China

    Zhicheng Li, Hongyang Liu & Huijun Gao

Authors
  1. Zhicheng Li
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  2. Hongyang Liu
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  3. Huijun Gao
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Corresponding author

Correspondence to Huijun Gao.

Additional information

This work was supported in part by Fork Ying Tung Education Foundation under Grant 111064, by Heilongjiang Outstanding Youth Science Fund under Grant JC200809, by Foundation for the Author of National Excellent Doctoral Dissertation of China (2007B45), by the Key Laboratory of Integrated Automation for the Process Industry (Northeastern University), Ministry of Eduction, and National Natural Science Foundation of China 60834003. Version dated December 6, 2010.

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Li, Z., Liu, H. & Gao, H. A Delay Partitioning Approach to H ∞ Filtering for Continuous Time-Delay Systems. Circuits Syst Signal Process 30, 501–513 (2011). https://doi.org/10.1007/s00034-010-9240-2

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  • DOI: https://doi.org/10.1007/s00034-010-9240-2

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