Delayed feedback control of active particles: a controlled journey towards the destination

Abstract

We explore theoretically the navigation of an active particle based on delayed feedback control. The delayed feedback enters in our expression for the particle orientation which, for an active particle, determines (up to noise) the direction of motion in the next time step. Here we estimate the orientation by comparing the delayed position of the particle with the actual one. This method does not require any real-time monitoring of the particle orientation and may thus be relevant also for controlling sub-micron sized particles, where the imaging process is not easily feasible. We apply the delayed feedback strategy to two experimentally relevant situations, namely, optical trapping and photon nudging. To investigate the performance of our strategy, we calculate the mean arrival time analytically (exploiting a small-delay approximation) and by simulations.

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Cited by in corpus (5)

• Hydrodynamics can Determine the Optimal Route for Microswimmer Navigation
• Reinforcement learning of optimal active particle navigation
• Active Colloids in Harmonic Optical Potentials
• Heat production in a stochastic system with nonlinear time-delayed feedback
• Accelerated first-passage dynamics in a non-Markovian feedback Ornstein--Uhlenbeck process