Boundary Feedback Control of a Nonhomogeneous Wind Turbine Tower With Exogenous Disturbances

Zhiji Han; Zhijie Liu; Wen Kang; Wei He

doi:10.1109/TAC.2021.3071021

Boundary Feedback Control of a Nonhomogeneous Wind Turbine Tower With Exogenous Disturbances

Zhiji Han
, Zhijie Liu
, Wen Kang
, Wei He^*

^*Corresponding author for this work

University of Science and Technology Beijing

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

99 Citations (Scopus)

Abstract

This article studies a vibration and disturbance rejection problem of a wind turbine tower under exogenous perturbations. The tower dynamics is captured by a nonhomogeneous Euler-Bernoulli beam model. The dissipativity of the system is realized by a boundary feedback control solution with a multivalued symbolic function. A Lyapunov-based stability analysis is established to assess the deflection of the tower is uniformly bounded even subject to exogenous disturbances. The extended Filippov framework and Galerkin approximation scheme are introduced to tackle the existence of the solution to the system with a discontinuous control input. Simulation results demonstrate the performance of the proposed control scheme.

Original language	English
Pages (from-to)	1952-1959
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2021.3071021
Publication status	Published - 1 Apr 2022
Externally published	Yes

Keywords

Boundary control
Filippov framework
distributed parameter system
vibration control
well-posedness
wind turbine tower

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10.1109/TAC.2021.3071021

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title = "Boundary Feedback Control of a Nonhomogeneous Wind Turbine Tower With Exogenous Disturbances",

abstract = "This article studies a vibration and disturbance rejection problem of a wind turbine tower under exogenous perturbations. The tower dynamics is captured by a nonhomogeneous Euler-Bernoulli beam model. The dissipativity of the system is realized by a boundary feedback control solution with a multivalued symbolic function. A Lyapunov-based stability analysis is established to assess the deflection of the tower is uniformly bounded even subject to exogenous disturbances. The extended Filippov framework and Galerkin approximation scheme are introduced to tackle the existence of the solution to the system with a discontinuous control input. Simulation results demonstrate the performance of the proposed control scheme.",

keywords = "Boundary control, Filippov framework, distributed parameter system, vibration control, well-posedness, wind turbine tower",

author = "Zhiji Han and Zhijie Liu and Wen Kang and Wei He",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

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AU - Han, Zhiji

AU - Liu, Zhijie

AU - Kang, Wen

AU - He, Wei

PY - 2022/4/1

Y1 - 2022/4/1

N2 - This article studies a vibration and disturbance rejection problem of a wind turbine tower under exogenous perturbations. The tower dynamics is captured by a nonhomogeneous Euler-Bernoulli beam model. The dissipativity of the system is realized by a boundary feedback control solution with a multivalued symbolic function. A Lyapunov-based stability analysis is established to assess the deflection of the tower is uniformly bounded even subject to exogenous disturbances. The extended Filippov framework and Galerkin approximation scheme are introduced to tackle the existence of the solution to the system with a discontinuous control input. Simulation results demonstrate the performance of the proposed control scheme.

AB - This article studies a vibration and disturbance rejection problem of a wind turbine tower under exogenous perturbations. The tower dynamics is captured by a nonhomogeneous Euler-Bernoulli beam model. The dissipativity of the system is realized by a boundary feedback control solution with a multivalued symbolic function. A Lyapunov-based stability analysis is established to assess the deflection of the tower is uniformly bounded even subject to exogenous disturbances. The extended Filippov framework and Galerkin approximation scheme are introduced to tackle the existence of the solution to the system with a discontinuous control input. Simulation results demonstrate the performance of the proposed control scheme.

KW - Boundary control

KW - Filippov framework

KW - distributed parameter system

KW - vibration control

KW - well-posedness

KW - wind turbine tower

UR - https://www.scopus.com/pages/publications/85103918666

U2 - 10.1109/TAC.2021.3071021

DO - 10.1109/TAC.2021.3071021

M3 - Article

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VL - 67

SP - 1952

EP - 1959

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 4

ER -

Boundary Feedback Control of a Nonhomogeneous Wind Turbine Tower With Exogenous Disturbances

Abstract

Keywords

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