Natural Wave Control in Lattices of Linear Oscillators

Denis Efimov 1 Alexander Fradkov 2
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The problem of natural wave control involves steering a lattice of oscillators towards a desired natural (i.e. zero-input) assignment of energy and phase across the lattice. This problem is formulated and solved for lattices of linear oscillators via a passivity-based approach. Numerical simulations of 1D and 2D linear lattices and a 1D lattice of nonlinear oscillators confirm the effectiveness of the proposed controls.
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Denis Efimov, Alexander Fradkov. Natural Wave Control in Lattices of Linear Oscillators. Systems and Control Letters, Elsevier, 2012, 61, pp.887-893. ⟨10.1016/j.sysconle.2012.06.001⟩. ⟨hal-00704714⟩

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