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OC3: Optimisation and Control Location: A702 Session Chair: Behzad Azmi | |
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Observer-Based Stabilization of Linear Water Waves from Partial Free-Surface Observations 1: Universität Konstanz, Germany; 2: CERMICS, ENPC, France We investigate the stabilization of a linearized water-wave equation from partial observations of the free surface. The model under consideration combines the rectangular-tank formulation introduced by Su, Tucsnak and Weiss [1] with observer-based reconstruction techniques inspired by the recent work of Perrin and Lissy [2]. Starting from the linearized gravity water-wave system, we study a finite-dimensional modal approximation based on the eigenstructure of the Dirichlet-to-Neumann operator. Particular attention is devoted to the construction of Luenberger-type observers using localized free-surface measurements. [2] Lissy and Perrin,Theoretical and numerical study of the convergence of Luenberger observers for a linearized water wave model, 2025 | |
