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arXiv · 2604.25339

Observer-Based State Feedback Controller for a Mindlin Plate Model in port-Hamiltonian framework

Ignacio Diaz Alastuey·Yann Le Gorrec·Yongxin Wu
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Abstract

This paper generalises an early lumped observer-based state-feedback (OBSF) control design methodology, originally developed for one-dimensional (1-D) boundary-controlled port-Hamiltonian systems, to a two-dimensional (2-D) boundary-controlled Mindlin plate. To this end, the 2-D port-Hamiltonian Mindlin plate model is first introduced and then discretized using a structure-preserving finite-difference method on staggered grids. A controllability decomposition is subsequently applied to identify the controllable modes of the discretized model. Furthermore, the state-feedback and observer gains are designed so that the OBSF controller is strictly positive real. This guarantees the stability of the closed-loop system when the finite-dimensional OBSF controller is interconnected with the 2-D boundary-controlled Mindlin plate. Numerical simulations are finally presented to illustrate the effectiveness of the proposed method.

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Ignacio Diaz Alastuey, Yann Le Gorrec, Yongxin Wu. 2026-04-28. Observer-Based State Feedback Controller for a Mindlin Plate Model in port-Hamiltonian framework. https://arxiv.org/abs/2604.25339

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