From Bellman to Dijkstra : Set oriented construction of globally optimal controllers

Titelangaben

Grüne, Lars ; Junge, Oliver:
From Bellman to Dijkstra : Set oriented construction of globally optimal controllers.
In: Junge, Oliver ; Schütze, Oliver ; Froyland, Gary ; Ober-Blöbaum, Sina ; Padberg-Gehle, Kathrin (Hrsg.): Advances in dynamics, optimization and computation : a volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. - Cham : Springer , 2020 . - S. 265-294 . - (Studies in Systems, Decision and Control ; 304 )
ISBN 978-3-030-51263-7
DOI: https://doi.org/10.1007/978-3-030-51264-4_11

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Abstract

We review an approach for discretizing Bellman's optimality principle based on piecewise constant functions. By applying this ansatz to a suitable dynamic game, a discrete feedback can be constructed which robustly stabilizes a given nonlinear control system. Hybrid, event and quantized systems can be naturally handeld by this construction.