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New results on H ∞ control of linear systems with interval time-varying delays

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Abstract

This paper is focused on the H ∞ control problem for linear systems with interval time-varying delays. By employing a reciprocally convex combination approach and a delay decomposition approach, some new delay-dependent bounded real lemmas (BRLs) are derived such that the closed-loop system is asymptotically stable with a prescribed H ∞ level. The BRLs are then used to solve the H ∞ controller design by incorporating with the cone complementary approach. Three numerical examples are finally given to show the validity of the proposed method.

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Author information

Authors and Affiliations

  1. Institute of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, 412008, China

    Shenping Xiao, Wubin Cheng, Hongbing Zeng & Lingshuang Kong

Authors
  1. Shenping Xiao
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  2. Wubin Cheng
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  3. Hongbing Zeng
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  4. Lingshuang Kong
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Corresponding author

Correspondence to Shenping Xiao.

Additional information

This research was supported by the National Nature Science Foundation of China under Grant No. 61203136; the Natural Science Foundation of Hunan Province of China Grant Nos. 2015JJ5021 and 2015JJ3064; and the Construct Program of the Key Discipline in Hunan Province.

This paper was recommended for publication by Editor TIAN Yuping.

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Xiao, S., Cheng, W., Zeng, H. et al. New results on H ∞ control of linear systems with interval time-varying delays. J Syst Sci Complex 28, 327–340 (2015). https://doi.org/10.1007/s11424-015-2258-6

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  • DOI: https://doi.org/10.1007/s11424-015-2258-6

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