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

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 r...

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Bibliographic Details
Published in:IET control theory & applications Vol. 14; no. 20; pp. 3723 - 3730
Main Authors: Zhang, Shuo, Liu, Lu, Chen, Yang Quan, Xue, Dingyu
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 27.12.2020
Subjects:
Brief Paper
control system analysis
control system synthesis
controlled system
delay systems
fractional‐order PD controller design
fractional‐order time‐delay systems
guaranteed robustness specifications
improved robust stability surface analysis
improved robustness requirements
PD control
robust control
robust stability surface analysis method
selectable robust controller design parameter combinations
stability boundary locus
stability region
fractional-order time-delay systems
robust stability surface analysis method
delay systems
stability boundary locus
controlled system
control system synthesis
improved robustness requirements
selectable robust controller design parameter combinations
PD control
fractional-order PD controller design
control system analysis
guaranteed robustness specifications
stability region
robust control
improved robust stability surface analysis
ISSN:1751-8644, 1751-8652
Online Access:Get full text
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Summary: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.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2020.0383