Global optimal control of quantized systems

Titelangaben

Grüne, Lars ; Müller, Florian:
Global optimal control of quantized systems.
In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest , 2010 . - S. 1231-1237
ISBN 978-963-311-370-7

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Abstract

We propose a set oriented approach to the global infinite horizon optimal control of nonlinear systems with quantized state measurement and quantized control values. The algorithm relies on a dynamic programming principle in which the quantization error is modelled as an opponent in a min-max dynamic game formulation. For the solution of the problem we propose a set oriented approach followed by a graph theoretic optimization algorithm. We also discuss a dynamic feedback extension and illustrate the performance of the proposed approach by experimental results.