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Proportional-derivative controllers for stabilisation of first-order processes with time delay

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  • Honghai Wang
  • Jianchang Liu
  • Feisheng Yang
  • Tiaoyang Cai

Abstract

This paper considers the problems of determining the complete stabilising set of proportional-derivative controllers for a first-order process with time delay. First, by employing a version of the Hermite–Biehler theorem applicable to quasi-polynomials, a complete set of all stabilising proportional-derivative parameters for first-order processes with constant time delay are obtained. Next, we provide an approach to design a robust PD controller to stabilise a first-order process with uncertain time delay, which lies inside a known interval.

Suggested Citation

  • Honghai Wang & Jianchang Liu & Feisheng Yang & Tiaoyang Cai, 2015. "Proportional-derivative controllers for stabilisation of first-order processes with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1065-1079, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1065-1079
    DOI: 10.1080/00207721.2013.808715
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    References listed on IDEAS

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    1. Mingwei Sun & Ruiguang Yang & Zenghui Wang & Zengqiang Chen, 2013. "Stability margin-based PD attitude control tuning for unstable flight vehicle," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 240-251.
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