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

被引：90

作者：

Han, Zhiji ^{[1
,2
]}

Liu, Zhijie ^{[1
,2
]}

Kang, Wen ^{[1
]}

He, Wei ^{[1
,2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China

[2] Univ Sci & Technol Beijing, Inst Artificial Intelligence, Beijing 100083, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 04期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Poles and towers; Wind turbines; Mathematical model; Vibrations; Control systems; Stability analysis; Shock absorbers; Boundary control; distributed parameter system; Filippov framework; vibration control; well-posedness; wind turbine tower; UNSTABLE PARABOLIC PDES; VIBRATION CONTROL; STABILITY; SYSTEMS;

D O I：

10.1109/TAC.2021.3071021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：1952 / 1959

页数：8

共 25 条

[1]

[Anonymous], 2010, REAL ANAL

[2]

Arscott F., 2013, Differential Equations with Discontinuous Righthand Sides: Control Systems Mathematics and Its Applications

[3] INITIAL-BOUNDARY VALUE-PROBLEMS FOR AN EXTENSIBLE BEAM [J].

BALL, JM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 42 (01) :61-90

[4] Spherical tuned liquid damper for vibration control in wind turbines [J].

Chen, Jun-Ling ;

Georgakis, Christos T. .

JOURNAL OF VIBRATION AND CONTROL, 2015, 21 (10) :1875-1885

[5]

Courant R., 1999, Introduction to Calculus and Analysis

[6] Inverse optimal gain assignment control of evolution systems and its application to boundary control of marine risers [J].

Do, K. D. .

AUTOMATICA, 2019, 106 :242-256

[7] Exponential stability of dual flexible arms for grasping and orientation control [J].

Endo, Takahiro ;

Umemoto, Kazuki ;

Matsuno, Fumitoshi .

IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (16) :2546-2555

[8] Modeling and Control of Wind Turbine Tower Vibrations [J].

Genov, J. ;

Gilev, B. ;

Slavchev, Y. ;

Venkov, G. .

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS, 2010, 1293 :30-+

[9] Vibration Control of a Nonuniform Wind Turbine Tower via Disturbance Observer [J].

He, Wei ;

Ge, Shuzhi Sam .

IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2015, 20 (01) :237-244

[10] Robust Adaptive Control of an Offshore Ocean Thermal Energy Conversion System [J].

He, Xiuyu ;

He, Wei ;

Liu, Yingru ;

Wang, Yiheng ;

Li, Guang ;

Wang, Yu .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (12) :5285-5295

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