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Book ; Online: Gradient-augmented Supervised Learning of Optimal Feedback Laws Using State-dependent Riccati Equations

Albi, Giacomo / Bicego, Sara / Kalise, Dante

2021  

Abstract: A supervised learning approach for the solution of large-scale nonlinear stabilization problems is presented. A stabilizing feedback law is trained from a dataset generated from State-dependent Riccati Equation solves. The training phase is enriched by ... ...

Abstract A supervised learning approach for the solution of large-scale nonlinear stabilization problems is presented. A stabilizing feedback law is trained from a dataset generated from State-dependent Riccati Equation solves. The training phase is enriched by the use gradient information in the loss function, which is weighted through the use of hyperparameters. High-dimensional nonlinear stabilization tests demonstrate that real-time sequential large-scale Algebraic Riccati Equation solves can be substituted by a suitably trained feedforward neural network.
Keywords Mathematics - Optimization and Control ; Computer Science - Machine Learning ; Electrical Engineering and Systems Science - Systems and Control
Publishing date 2021-03-06
Publishing country us
Document type Book ; Online
Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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