Modeling, Stabilization and Control of Serially Connected Beams

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Abstract
Many flexible structures consist of a large number of components coupled end to end in the form of a chain. In this paper, we consider the simplest type of such structures which is formed by N serially connected Euler–Bernoulli beams, with N actuators and sensors co-located at nodal points. When these N beams are strongly connected at all intermediate nodes and their material coefficients satisfy certain properties, uniform exponential stabilization can be achieved by stabilizing at one end point of the composite beam.We use finite elements to discretize the partial differential equation and compute the spectra of these boundary damped operators. Numericall results are also illustrated.

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