Vibration control for a flexible satellite system with output constraints

Tingting Meng; Wei He; Hong Yang; Jin Kun Liu; Wei You

doi:10.1007/s11071-016-2854-6

Vibration control for a flexible satellite system with output constraints

Tingting Meng
, Wei He^*
, Hong Yang
, Jin Kun Liu
, Wei You

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

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

36 Scopus citations

Abstract

In this paper, a flexible satellite system is described by two governing equations and eight boundary conditions through Hamilton’s principle. Based on Lyapunov’s direct method, a barrier Lyapunov function is employed to design two boundary control laws and analyze the stability of the closed-loop system. By employing the proposed control schemes, the vibrations of the flexible satellite are suppressed to zero, the angle displacement converges to the desired angle, and both the tracking error and the elastic deflection are also restrained into a certain region, respectively. Numerical results are provided to illustrate the effectiveness of the proposed controllers.

Original language	English
Pages (from-to)	2673-2686
Number of pages	14
Journal	Nonlinear Dynamics
Volume	85
Issue number	4
DOIs	https://doi.org/10.1007/s11071-016-2854-6
State	Published - 1 Sep 2016

Keywords

Asymptotic stability
Barrier Lyapunov function
Boundary control
Distributed parameter system
Vibration control

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10.1007/s11071-016-2854-6

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title = "Vibration control for a flexible satellite system with output constraints",

abstract = "In this paper, a flexible satellite system is described by two governing equations and eight boundary conditions through Hamilton{\textquoteright}s principle. Based on Lyapunov{\textquoteright}s direct method, a barrier Lyapunov function is employed to design two boundary control laws and analyze the stability of the closed-loop system. By employing the proposed control schemes, the vibrations of the flexible satellite are suppressed to zero, the angle displacement converges to the desired angle, and both the tracking error and the elastic deflection are also restrained into a certain region, respectively. Numerical results are provided to illustrate the effectiveness of the proposed controllers.",

keywords = "Asymptotic stability, Barrier Lyapunov function, Boundary control, Distributed parameter system, Vibration control",

author = "Tingting Meng and Wei He and Hong Yang and Liu, \{Jin Kun\} and Wei You",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

year = "2016",

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doi = "10.1007/s11071-016-2854-6",

language = "英语",

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TY - JOUR

T1 - Vibration control for a flexible satellite system with output constraints

AU - Meng, Tingting

AU - He, Wei

AU - Yang, Hong

AU - Liu, Jin Kun

AU - You, Wei

PY - 2016/9/1

Y1 - 2016/9/1

N2 - In this paper, a flexible satellite system is described by two governing equations and eight boundary conditions through Hamilton’s principle. Based on Lyapunov’s direct method, a barrier Lyapunov function is employed to design two boundary control laws and analyze the stability of the closed-loop system. By employing the proposed control schemes, the vibrations of the flexible satellite are suppressed to zero, the angle displacement converges to the desired angle, and both the tracking error and the elastic deflection are also restrained into a certain region, respectively. Numerical results are provided to illustrate the effectiveness of the proposed controllers.

AB - In this paper, a flexible satellite system is described by two governing equations and eight boundary conditions through Hamilton’s principle. Based on Lyapunov’s direct method, a barrier Lyapunov function is employed to design two boundary control laws and analyze the stability of the closed-loop system. By employing the proposed control schemes, the vibrations of the flexible satellite are suppressed to zero, the angle displacement converges to the desired angle, and both the tracking error and the elastic deflection are also restrained into a certain region, respectively. Numerical results are provided to illustrate the effectiveness of the proposed controllers.

KW - Asymptotic stability

KW - Barrier Lyapunov function

KW - Boundary control

KW - Distributed parameter system

KW - Vibration control

UR - https://www.scopus.com/pages/publications/84973158812

U2 - 10.1007/s11071-016-2854-6

DO - 10.1007/s11071-016-2854-6

M3 - 文章

AN - SCOPUS:84973158812

SN - 0924-090X

VL - 85

SP - 2673

EP - 2686

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Vibration control for a flexible satellite system with output constraints

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Keywords

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