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

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

Yiheng Wei
, Peter W. Tse^*
, Zhao Yao
, Yong Wang

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

147 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1047-1056
Journal	Nonlinear Dynamics
Volume	86
Issue number	2
Online published	27 Jul 2016
DOIs	https://doi.org/10.1007/s11071-016-2945-4
Publication status	Published - Oct 2016

Research Keywords

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

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RGC-funded

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10.1007/s11071-016-2945-4

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title = "Adaptive backstepping output feedback control for a class of nonlinear fractional order systems",

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.",

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

author = "Yiheng Wei and Tse, \{Peter W.\} and Zhao Yao and Yong Wang",

year = "2016",

month = oct,

doi = "10.1007/s11071-016-2945-4",

language = "English",

volume = "86",

pages = "1047--1056",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "2",

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TY - JOUR

T1 - Adaptive backstepping output feedback control for a class of nonlinear fractional order systems

AU - Wei, Yiheng

AU - Tse, Peter W.

AU - Yao, Zhao

AU - Wang, Yong

PY - 2016/10

Y1 - 2016/10

N2 - 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.

AB - 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.

KW - Adaptive backstepping control

KW - Fractional order systems

KW - Frequency distributed model

KW - Indirect Lyapunov method

KW - Tracking differentiator

UR - https://www.scopus.com/pages/publications/84980002401

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84980002401&origin=recordpage

U2 - 10.1007/s11071-016-2945-4

DO - 10.1007/s11071-016-2945-4

M3 - RGC 21 - Publication in refereed journal

SN - 0924-090X

VL - 86

SP - 1047

EP - 1056

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 2

ER -

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

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Research Keywords

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GRF: A Novel Prognostic System for Predicting the Remaining Useful Life of Slurry Pumps that Exhibit High Fluctuation in Monitored Operating Signals

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

Abstract

Research Keywords

RGC Funding Information

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GRF: A Novel Prognostic System for Predicting the Remaining Useful Life of Slurry Pumps that Exhibit High Fluctuation in Monitored Operating Signals

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