Pole assignment for continuous-time fractional order systems

Abdoualaziz Ben Braim and Fouad Mesquine

International Journal of Systems Science, 2019, vol. 50, issue 11, 2113-2125

Abstract: The problem of pole assignment for linear continuous-time commensurate fractional order systems is addressed. The closed-loop poles are assigned in the adequate stability region according to the fractional derivative order α in $[0 \ 1] $[0 1] or in $[ 1 \ 2] $[1 2]. First, sufficient stability conditions are established for both cases. Then, link is made to a pole assignment procedure enabling one to ensure the closed-loop asymptotic stability. Furthermore, robustness of the pole assignment against parametric uncertainties for the fractional order differential system has been investigated for both cases. Finally, ease of application and effectiveness of the proposed approach are shown through a practical example.Abbreviations: FOS: Fractional order system; LHP: left half plan; RHP: right half plan; LMI: linear matrix inequality

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2019.1646837 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2113-2125

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2019.1646837

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().