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access icon openaccess Synthesised fractional-order PD controller design for fractional-order time-delay systems based on improved robust stability surface analysis

  • Author(s): Shuo Zhang 1 ; Lu Liu 2 ; Yang Quan Chen 3 ; Dingyu Xue 4
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  • Source: Volume 14, Issue 20, 27 December 2020, p. 3723 – 3730
    DOI:  10.1049/iet-cta.2020.0383 , Print ISSN 1751-8644, Online ISSN 1751-8652
This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 26/03/2020, Accepted 21/09/2020, Revised 22/08/2020, Published 03/12/2020

An improved robust stability surface analysis method is proposed in this study for fractional-order time-delay systems. Through the stabilisation process, a synthesised fractional-order PD controller can be designed with guaranteed robustness specifications. Firstly, the specification for improved robustness requirements is proposed. In order to find selectable robust controller design parameter combinations for the controlled system, stability region is discussed based on the stability boundary locus, and the robust stability surface is derived straight after. Secondly, the selectable parameter combinations are checked to find the one that best fulfils all the proposed robustness specifications. Finally, numerical simulations are given to demonstrate the effectiveness and flexibility of the presented control algorithm.

Inspec keywords: control system synthesis; delay systems; robust control; PD control; control system analysis

Other keywords: controlled system; improved robustness requirements; stability region; guaranteed robustness specifications; fractional-order time-delay systems; fractional-order PD controller design; improved robust stability surface analysis; stability boundary locus; robust stability surface analysis method; selectable robust controller design parameter combinations

Subjects: Control system analysis and synthesis methods; Stability in control theory; Distributed parameter control systems

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