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New physics-informed learning method for nonlinear system observers

Researchers have developed a novel physics-informed learning approach for creating Kazantzis-Kravaris (KKL) observers for nonlinear systems. This method uses a physics-informed neural network to learn the forward mapping and a standard feedforward neural network for the inverse mapping. The paper provides theoretical guarantees for the robustness of state estimation against approximation errors and system uncertainties, including non-asymptotic learning guarantees. Numerical simulations on benchmark examples demonstrate that this approach offers better generalization capabilities outside the training domain compared to existing methods. AI

IMPACT This research could lead to more robust and generalizable state estimation techniques for complex nonlinear systems.

RANK_REASON The cluster contains an academic paper detailing a new methodology for observer synthesis in nonlinear systems. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New physics-informed learning method for nonlinear system observers

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · M. Umar B. Niazi, John Cao, Matthieu Barreau, Karl Henrik Johansson ·

    KKL Observer Synthesis for Nonlinear Systems via Physics-Informed Learning

    arXiv:2501.11655v3 Announce Type: replace-cross Abstract: This paper proposes a novel learning approach for designing Kazantzis-Kravaris or nonlinear Luenberger (KKL) observers for autonomous nonlinear systems. The design of a KKL observer involves finding an injective map that t…