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H∞ Filtering for Systems with Delays and Time-varying Nonlinear Parameters

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Abstract

This paper is concerned with the gain-scheduled H ∞ filtering problem for a class of parameter-varying continuous systems with time delays. The systems under consideration are represented by nonlinear fractional transformation (NFT) which is a generalization of linear fractional transformation (LFT). Attention is focused on the design of a stable filter guaranteeing a prescribed disturbance attenuation level in an H ∞ sense. Sufficient solvability conditions of this problem are obtained based on Lyapunov function approach. A gain-scheduled filter can be constructed in terms of a set of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the applicability of the proposed approach.

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Authors and Affiliations

  1. Department of Automation, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, P.R. China

    Shaosheng Zhou

  2. Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

    James Lam

Authors
  1. Shaosheng Zhou
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  2. James Lam
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Correspondence to Shaosheng Zhou.

Additional information

This work was supported in part by the National Natural Science Foundation of P.R. China under Grants 60974006 and 60934009, and by RGC HKU 7031/06P, and also by the 973 program No 2009CB320600.

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Zhou, S., Lam, J. H∞ Filtering for Systems with Delays and Time-varying Nonlinear Parameters. Circuits Syst Signal Process 29, 601–627 (2010). https://doi.org/10.1007/s00034-010-9172-x

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  • DOI: https://doi.org/10.1007/s00034-010-9172-x

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