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Original Articles

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

, &
Pages 1533-1545 | Received 30 Apr 2011, Accepted 15 Jan 2012, Published online: 17 Feb 2012
 

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.

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