Decentralised stabilisation of positive fractional-order interconnected systems

This study addresses the stabilisation problem via decentralised controllers for continuous-time positive fractional-order (FO) interconnected systems. By virtue of the positivity, a necessary and sufficient condition is first derived for asymptotic stability of the interconnected closed-loop system...

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Bibliographic Details
Published in:IET control theory & applications 2017-09, Vol.11 (14), p.2391-2395
Main Authors: Hien, Le Van, Kinh, Chu Trong
Format: Article
Language:English
Subjects:
asymptotic stability
Brief Paper
closed loop systems
closed‐loop system
continuous time systems
continuous‐time FO systems
convex optimisation algorithms
convex programming
decentralised control
decentralised controllers
decentralised stabilisation
interconnected systems
linear programming
linear programming problem
positive fractional‐order interconnected systems
state feedback
state‐feedback controller
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Summary:This study addresses the stabilisation problem via decentralised controllers for continuous-time positive fractional-order (FO) interconnected systems. By virtue of the positivity, a necessary and sufficient condition is first derived for asymptotic stability of the interconnected closed-loop system. Then, necessary and sufficient conditions for designing a decentralised state-feedback controller are formulated in the form of a linear programming problem which can be effectively solved by using various convex optimisation algorithms. The effectiveness of the obtained theoretical results is demonstrated by a numerical example in positive FO circuits.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2016.1341