Active control of dispersive waves: coupling finite-dimensional control system using isospectra

A new scheme for designing closed-loop control of dispersive waves in elastic structures is reported in this article. This scheme takes advantage of the dissipative characteristics of visco-elastic materials, and the isospectral properties of the visco-elastic system are used to design the feedback controller for the undamped structural system to realize the desired characteristics of the closed-loop system. Numerical results are presented in the form of frequency-response and wave-transmission characteristics, and these results show the promise of the proposed scheme.

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