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Science China Information Sciences

, 61:092203 | Cite as

Achievable delay margin using LTI control for plants with unstable complex poles

  • Peijun Ju
  • Huanshui Zhang
Research Paper

Abstract

We consider the achievable delay margin of a real rational and strictly proper plant, with unstable complex poles, by a linear time-invariant (LTI) controller. The delay margin is defined as the largest time delay such that, for any delay less than this value, the closed-loop stability is maintained. Drawing upon a frequency domain method, particularly a bilinear transform technique, we provide an upper bound of the delay margin, which requires computing the maximum of a one-variable function. Finally, the effectiveness of the theoretical results is demonstrated through a numerical example.

Keywords

delay margin systems with time-delay time-invariant systems unstable complex poles frequency domain method 

Notes

Acknowledgements

This work was partially supported by Taishan Scholar Construction Engineering by Shandong Government and National Natural Science Foundation of China (Grant Nos. 61573220, 61573221, 61633014).

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Control Science and EngineeringShandong UniversityJi’nan, ShandongChina
  2. 2.School of Mathematics and StatisticsTaishan UniversityTai’an, ShandongChina

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