Stabilisation of large motions of Euler–Bernoulli beams by boundary controls
K. D. Do
International Journal of Systems Science, 2018, vol. 49, issue 4, 736-754
Abstract:
This paper proposes a design of boundary controls for stabilisation of Euler–Bernoulli beams with large motions and non-neglectable moment of inertia under external loads. Common types of boundary conditions in practice are considered. The designed boundary controllers guarantee globally practical K∞$\mathcal {K}_{\infty }$-exponential stability of closed-loop system. The control design, well-posedness and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space.
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:49:y:2018:i:4:p:736-754
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DOI: 10.1080/00207721.2018.1425506
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