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

Honghai Wang, Jianchang Liu, Feisheng Yang and Tiaoyang Cai

International Journal of Systems Science, 2015, vol. 46, issue 6, 1065-1079

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.

Date: 2015
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DOI: 10.1080/00207721.2013.808715

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