Stabilisation of large motions of Euler–Bernoulli beams by boundary controls
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...
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| Format: | Journal Article |
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Taylor and Francis
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/66893 |
| Summary: | 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∞-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. |
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