Global optimal control of quantized systems

L. Grüne, F. Müller: Global optimal control of quantized systems
in: Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2010), Budapest, Hungary, 2010, 1231 - 1237

Smart-Link: http://www.conferences.hu/mtns2010/
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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.

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