18 April 2007 Exact controllability of a multilayer Rao-Nakra beam with minimal number of boundary controls
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Abstract
We consider a multilayer Rao-Nakra sandwich beam with shear damping included in alternate layers. In the case that the wave speeds of the layers are distinct, we show that by "tuning" the damping in each layer appropriately, it is possible to construct a scalar boundary control that exactly controls the entire layered system in a control time related to the sum of the control times of each separate layer. In the case where some waves speeds coincide, one can reduce the number of controls needed, but not to a single scalar control.
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Scott W. Hansen, Scott W. Hansen, "Exact controllability of a multilayer Rao-Nakra beam with minimal number of boundary controls", Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230P (18 April 2007); doi: 10.1117/12.715941; https://doi.org/10.1117/12.715941
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