Adaptive backstepping output feedback control for a class of nonlinear fractional order systems

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

doi:10.1007/s11071-016-2945-4

Author(s)

Yiheng Wei
Peter W. Tse
Zhao Yao
Yong Wang

Detail(s)

Original language	English
Pages (from-to)	1047-1056
Journal / Publication	Nonlinear Dynamics
Volume	86
Issue number	2
Online published	27 Jul 2016
Publication status	Published - Oct 2016

Link(s)

DOI	DOI https://doi.org/10.1007/s11071-016-2945-4 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84980002401&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(6e70c42c-cf8f-44a0-8075-e07a888d678b).html

Abstract

This article presents a novel fractional order adaptive backstepping output feedback control scheme for nonlinear fractional order systems. The needed feedback information is constructed via a state estimation filter. To improve the control performance, tracking differentiators, nonlinear elements and fractional order update laws were introduced and applied to the control systems. With the aids of this frequency distribute model and the indirect Lyapunov method, the stability and the tracking convergence of the resulting closed-loop system were established. A careful simulation study was provided to illustrate the effectiveness of this novel scheme.

Research Area(s)

Adaptive backstepping control, Fractional order systems, Frequency distributed model, Indirect Lyapunov method, Tracking differentiator

Citation Format(s)

[ RIS ] [ BibTeX ]

Adaptive backstepping output feedback control for a class of nonlinear fractional order systems. / Wei, Yiheng; Tse, Peter W.; Yao, Zhao et al.

In: Nonlinear Dynamics, Vol. 86, No. 2, 10.2016, p. 1047-1056.

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 2016, 'Adaptive backstepping output feedback control for a class of nonlinear fractional order systems', Nonlinear Dynamics, vol. 86, no. 2, pp. 1047-1056. https://doi.org/10.1007/s11071-016-2945-4

Wei, Y., Tse, P. W., Yao, Z., & Wang, Y. (2016). Adaptive backstepping output feedback control for a class of nonlinear fractional order systems. Nonlinear Dynamics, 86(2), 1047-1056. https://doi.org/10.1007/s11071-016-2945-4

Wei Y, Tse PW, Yao Z, Wang Y. Adaptive backstepping output feedback control for a class of nonlinear fractional order systems. Nonlinear Dynamics. 2016 Oct;86(2):1047-1056. Epub 2016 Jul 27. doi: 10.1007/s11071-016-2945-4

Wei, Yiheng ; Tse, Peter W. ; Yao, Zhao et al. / Adaptive backstepping output feedback control for a class of nonlinear fractional order systems. In: Nonlinear Dynamics. 2016 ; Vol. 86, No. 2. pp. 1047-1056.