Space mapping-based Receding Horizon Control for Stochastic Interacting Particle Systems: dogs herding sheep
arXiv:1910.05719
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.
References in corpus (6)
- Mean-field limit for the stochastic Vicsek model
- Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
- Nonlinear stability of flock solutions in second-order swarming models
- A new interaction potential for swarming models
- Instantaneous control of interacting particle systems in the mean-field limit
- Optimal strategies for driving a mobile agent in a guidance by repulsion model