Open-Loop Control of Particle Systems Based on a Model of Coupled Stochastic Oscillators

This paper presents an open-loop control method for particle systems which are modeled as coupled stochastic oscillators. The proposed control approach is flatness-based control. It is explained that the kinematic model of the particles can be derived from the model of the quantum harmonic oscillator. It is shown that the kinematic model of the particles is a differentially-flat system. It is also shown that after applying flatness-based control the mean of the particle system can be steered along a desirable path with infinite accuracy, while each individual particle can track the trajectory within acceptable accuracy levels.