Finite-Time H-Infinity control of a fractional-order hydraulic turbine governing system

Le Liu; Bin Wang; Sijie Wang; Yuantai Chen; Tasawar Hayat; Fuad E. Alsaadi

doi:10.1109/ACCESS.2018.2873769

Finite-Time H-Infinity control of a fractional-order hydraulic turbine governing system

Le Liu
, Bin Wang
, Sijie Wang
, Yuantai Chen
, Tasawar Hayat
, Fuad E. Alsaadi

Northwest Agriculture and Forestry University
Faculty of Engineering, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

The finite-time H_∞ control of a fractional-order hydraulic turbine governing system (HTGS) is studied. First, a fractional-order HTGS as well as its generalized Takagi-Sugeno fuzzy model is presented. Then, based on the fractional-order stability theorem, the robust H_∞ state feedback control is designed to guarantee that the HTGS is asymptotically stable with prescribed H_∞ performance. Furthermore, the H_∞ control is integrated with finite-time control theory, a finite-time H_∞ control is proposed for the fractional-order HTGS, and the stability condition is given in terms of linear matrix inequalities. Finally, simulation results verify the validity and superiority of the proposed control method.

Original language	English
Article number	8481354
Pages (from-to)	57507-57517
Number of pages	11
Journal	IEEE Access
Volume	6
DOIs	https://doi.org/10.1109/ACCESS.2018.2873769
State	Published - 2018
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Finite-time control
Fractional-order stability
H control
Hydraulic turbine governing system
Linear matrix inequality

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10.1109/ACCESS.2018.2873769

Cite this

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title = "Finite-Time H-Infinity control of a fractional-order hydraulic turbine governing system",

abstract = "The finite-time H∞ control of a fractional-order hydraulic turbine governing system (HTGS) is studied. First, a fractional-order HTGS as well as its generalized Takagi-Sugeno fuzzy model is presented. Then, based on the fractional-order stability theorem, the robust H∞ state feedback control is designed to guarantee that the HTGS is asymptotically stable with prescribed H∞ performance. Furthermore, the H∞ control is integrated with finite-time control theory, a finite-time H∞ control is proposed for the fractional-order HTGS, and the stability condition is given in terms of linear matrix inequalities. Finally, simulation results verify the validity and superiority of the proposed control method.",

keywords = "Finite-time control, Fractional-order stability, H control, Hydraulic turbine governing system, Linear matrix inequality",

author = "Le Liu and Bin Wang and Sijie Wang and Yuantai Chen and Tasawar Hayat and Alsaadi, \{Fuad E.\}",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2018",

doi = "10.1109/ACCESS.2018.2873769",

language = "English",

volume = "6",

pages = "57507--57517",

journal = "IEEE Access",

issn = "2169-3536",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Finite-Time H-Infinity control of a fractional-order hydraulic turbine governing system

AU - Liu, Le

AU - Wang, Bin

AU - Wang, Sijie

AU - Chen, Yuantai

AU - Hayat, Tasawar

AU - Alsaadi, Fuad E.

PY - 2018

Y1 - 2018

N2 - The finite-time H∞ control of a fractional-order hydraulic turbine governing system (HTGS) is studied. First, a fractional-order HTGS as well as its generalized Takagi-Sugeno fuzzy model is presented. Then, based on the fractional-order stability theorem, the robust H∞ state feedback control is designed to guarantee that the HTGS is asymptotically stable with prescribed H∞ performance. Furthermore, the H∞ control is integrated with finite-time control theory, a finite-time H∞ control is proposed for the fractional-order HTGS, and the stability condition is given in terms of linear matrix inequalities. Finally, simulation results verify the validity and superiority of the proposed control method.

AB - The finite-time H∞ control of a fractional-order hydraulic turbine governing system (HTGS) is studied. First, a fractional-order HTGS as well as its generalized Takagi-Sugeno fuzzy model is presented. Then, based on the fractional-order stability theorem, the robust H∞ state feedback control is designed to guarantee that the HTGS is asymptotically stable with prescribed H∞ performance. Furthermore, the H∞ control is integrated with finite-time control theory, a finite-time H∞ control is proposed for the fractional-order HTGS, and the stability condition is given in terms of linear matrix inequalities. Finally, simulation results verify the validity and superiority of the proposed control method.

KW - Finite-time control

KW - Fractional-order stability

KW - H control

KW - Hydraulic turbine governing system

KW - Linear matrix inequality

UR - https://www.scopus.com/pages/publications/85054540845

U2 - 10.1109/ACCESS.2018.2873769

DO - 10.1109/ACCESS.2018.2873769

M3 - Article

AN - SCOPUS:85054540845

SN - 2169-3536

VL - 6

SP - 57507

EP - 57517

JO - IEEE Access

JF - IEEE Access

M1 - 8481354

ER -

Finite-Time H-Infinity control of a fractional-order hydraulic turbine governing system

Abstract

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Keywords

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