Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator

DOI10.1007/978-3-030-35713-9_10zbMath1453.93056arXiv1806.09898OpenAlexW2810798408MaRDI QIDQ2212185

Stefan Klus, Sebastian Peitz

Publication date: 19 November 2020

Full work available at URL: https://arxiv.org/abs/1806.09898

zbMATH Keywords

feedbacknonlinear PDEsreduced order modelsKoopman operatorextended dynamic mode decompositionmodel predictive controllers

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Nonlinear systems in control theory (93C10) Operator-theoretic methods (93B28) Model predictive control (93B45)

Related Items (4)

Modern Koopman Theory for Dynamical Systems ⋮ Data-Driven Model Predictive Control using Interpolated Koopman Generators ⋮ Finite-data error bounds for Koopman-based prediction and control ⋮ Data-driven approximation of the Koopman generator: model reduction, system identification, and control

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