Boundary control of an Euler–Bernoulli beam with input and output restrictions

In this study, boundary control is considered for an Euler–Bernoulli beam subject to bounded input, bounded output, and external disturbances. Through utilizing the backstepping technology, a boundary control scheme is designed based on the original partial differential equations to regulate the vib...

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Bibliographic Details
Published inNonlinear dynamics Vol. 92; no. 2; pp. 531 - 541
Main Authors Liu, Zhijie, Liu, Jinkun, He, Wei
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.04.2018
Springer Nature B.V
Subjects
Automotive Engineering
Boundary control
Classical Mechanics
Control
Dynamical Systems
Engineering
Euler-Bernoulli beams
Hyperbolic functions
Liapunov functions
Mechanical Engineering
Original Paper
Partial differential equations
Vibration
Boundary control
Euler–Bernoulli beam
Distributed parameter system
Input and output restrictions
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Summary:In this study, boundary control is considered for an Euler–Bernoulli beam subject to bounded input, bounded output, and external disturbances. Through utilizing the backstepping technology, a boundary control scheme is designed based on the original partial differential equations to regulate the vibration of the beam. An auxiliary system based on a smooth hyperbolic function is designed to handle the impact of the restricted input. And a barrier Lyapunov function is adopted to eliminate the impact of output restriction. It is proved that the input and output restrictions are circumvented simultaneously. Simulations are demonstrated for illustration.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-018-4073-9