article

Boundary and Distributed Control for a Nonlinear Three-Dimensional Euler-Bernoulli Beam Based On Infinite Dimensional Disturbance Observer

Authors:

Tingting Jiang,

Wei HeAuthors Info & Claims

Asian Journal of Control, Volume 18, Issue 6

Pages 2047 - 2063

https://doi.org/10.1002/asjc.1298

Published: 01 November 2016 Publication History

Abstract

Control problems in spatially distributed systems are challenging because the disturbance is of infinite dimensions. To this end, this paper discusses an infinite dimensional disturbance observer design, which is illustrated based on a partial differential equation PDE model of a nonlinear three-dimensional Euler-Bernoulli beam. The basic idea of the observer design is to modify the estimations based on the difference between the estimated output and actual output. Moreover, an auxiliary parameter system is established to help with the analysis. Then a Lyapunov function candidate consisting of the energy of the system, the observer error and an auxiliary term is given. After a series of analyses of the function, distributed controllers and boundary controllers based on the proposed observer are given to restrain vibration. Finally, by numerical simulations, the convergence of the observer is demonstrated, and the efficacy of control performance is also shown.

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Cited By

Zhang YLiu JHe W(2018)Adaptive fault‐tolerant control for a nonlinear flexible aircraft wing systemAsian Journal of Control10.1002/asjc.182121:5(2340-2351)Online publication date: 21-Jun-2018
https://dl.acm.org/doi/10.1002/asjc.1821
Ji NLiu J(2018)Adaptive boundary control for flexible three‐dimensional Euler‐Bernoulli beam with input signal quantizationInternational Journal of Adaptive Control and Signal Processing10.1002/acs.289332:8(1162-1181)Online publication date: 25-Jun-2018
https://dl.acm.org/doi/10.1002/acs.2893

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cover image Asian Journal of Control

Asian Journal of Control Volume 18, Issue 6

November 2016

408 pages

ISSN:1561-8625

EISSN:1934-6093

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John Wiley & Sons, Inc.

United States

Publication History

Published: 01 November 2016

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Cited By

Zhang YLiu JHe W(2018)Adaptive fault‐tolerant control for a nonlinear flexible aircraft wing systemAsian Journal of Control10.1002/asjc.182121:5(2340-2351)Online publication date: 21-Jun-2018
https://dl.acm.org/doi/10.1002/asjc.1821
Ji NLiu J(2018)Adaptive boundary control for flexible three‐dimensional Euler‐Bernoulli beam with input signal quantizationInternational Journal of Adaptive Control and Signal Processing10.1002/acs.289332:8(1162-1181)Online publication date: 25-Jun-2018
https://dl.acm.org/doi/10.1002/acs.2893

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