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Robust l 2−l ∞ Guaranteed Cost Filtering for Uncertain Discrete-Time Switched System with Mode-Dependent Time-Varying Delays

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Abstract

This paper deals with the problem of robust l 2−l ∞ guaranteed cost filtering for uncertain discrete-time switched systems with both mode-dependent time-varying delays and norm-bounded parameter uncertainties. The objective of this paper is to design a stable guaranteed cost filter which guarantees that the error system is asymptotically stable and the cost function value is not more than a specified upper bound for all admissible uncertainties. By resorting to a descriptor system approach, delay-dependent sufficient conditions of guaranteed cost filtering are presented in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed algorithms.

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Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Qufu, 273165, Shandong, PR China

    Guangdeng Zong, Linlin Hou & Yuqiang Wu

Authors
  1. Guangdeng Zong
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  2. Linlin Hou
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  3. Yuqiang Wu
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Correspondence to Guangdeng Zong.

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Zong, G., Hou, L. & Wu, Y. Robust l 2−l ∞ Guaranteed Cost Filtering for Uncertain Discrete-Time Switched System with Mode-Dependent Time-Varying Delays. Circuits Syst Signal Process 30, 17–33 (2011). https://doi.org/10.1007/s00034-010-9204-6

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  • DOI: https://doi.org/10.1007/s00034-010-9204-6

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