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Stabilisation of unstable FOPDT processes with a single zero by fractional-order controllers

Iraj Kheirizad, Ali Jalali and Khosro Khandani

International Journal of Systems Science, 2013, vol. 44, issue 8, 1533-1545

Abstract: In this article, stabilisation of unstable first-order-plus-dead-time (FOPDT) processes with a single zero by fractional-order (FO) controllers is investigated. A Nyquist stability criterion-based approach is adopted to derive the conditions for stability. Sufficient stabilisability conditions by FO [proportional integral] controllers and FO-lead–lag controllers are established. In addition, robust stability of the system with these FO controllers is investigated. To illustrate the results, some examples are provided.

Date: 2013
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DOI: 10.1080/00207721.2012.659696

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