The output feedback control synthesis for a class of singular fractional order systems

Yiheng Wei; Peter W. Tse; Zhao Yao; Yong Wang

doi:10.1016/j.isatra.2017.04.020

Author(s)

Yiheng Wei
Peter W. Tse
Zhao Yao
Yong Wang

Detail(s)

Original language	English
Pages (from-to)	1-9
Journal / Publication	ISA Transactions
Volume	69
Online published	3 May 2017
Publication status	Published - Jul 2017

Link(s)

DOI	DOI https://doi.org/10.1016/j.isatra.2017.04.020 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85019006820&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(1c8749a7-94d7-435a-863c-bacd7d3fd515).html

Abstract

This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2). Firstly, an effective criterion for the normalization of singular fractional order systems is given with output differential feedback. Afterwards, both static and dynamic output feedback stabilization of such normalized fractional order systems are derived. Besides, the robustness to the parameter uncertainty and the initial conditions are discussed in detail. All the results are given via linear matrix inequality (LMI) formulation. Finally, three numerical examples are provided to demonstrate the applicability of the proposed approaches.

Research Area(s)

Fractional order system, LMI, Normalization, Output feedback, Parameter uncertainty, Singular system

Citation Format(s)

[ RIS ] [ BibTeX ]

The output feedback control synthesis for a class of singular fractional order systems. / Wei, Yiheng; Tse, Peter W.; Yao, Zhao et al.
In: ISA Transactions, Vol. 69, 07.2017, p. 1-9.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Wei, Y, Tse, PW, Yao, Z & Wang, Y 2017, 'The output feedback control synthesis for a class of singular fractional order systems', ISA Transactions, vol. 69, pp. 1-9. https://doi.org/10.1016/j.isatra.2017.04.020

Wei, Y., Tse, P. W., Yao, Z., & Wang, Y. (2017). The output feedback control synthesis for a class of singular fractional order systems. ISA Transactions, 69, 1-9. https://doi.org/10.1016/j.isatra.2017.04.020

Wei Y, Tse PW, Yao Z, Wang Y. The output feedback control synthesis for a class of singular fractional order systems. ISA Transactions. 2017 Jul;69:1-9. Epub 2017 May 3. doi: 10.1016/j.isatra.2017.04.020

Wei, Yiheng ; Tse, Peter W. ; Yao, Zhao et al. / The output feedback control synthesis for a class of singular fractional order systems. In: ISA Transactions. 2017 ; Vol. 69. pp. 1-9.