Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep
Abstract Control of stochastic interacting particle systems is a non-trivial task due to the high dimensionality of the problem and the lack of fast algorithms. Here, we propose a space mapping-based approximation of the stochastic control problem by solutions of the deterministic one. In combinatio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-04-01
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| Series: | Journal of Mathematics in Industry |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13362-020-00077-1 |
| Summary: | Abstract Control of stochastic interacting particle systems is a non-trivial task due to the high dimensionality of the problem and the lack of fast algorithms. Here, we propose a space mapping-based approximation of the stochastic control problem by solutions of the deterministic one. In combination with the receding horizon control technique this yields a reliable and fast numerical scheme for the closed loop control of stochastic interacting particle systems. As a numerical example we consider the herding of sheep with dogs. The numerical results underline the feasibility of our approach and further show stabilizing behaviour of the closed loop control. |
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| ISSN: | 2190-5983 |