Reinforcement Learning for Mixed Open-loop and Closed-loop Control

Closed-loop control relies on sensory feedback that is usually as(cid:173) sumed to be free . But if sensing incurs a cost, it may be cost(cid:173) effective to take sequences of actions in open-loop mode. We de(cid:173) scribe a reinforcement learning algorithm that learns to combine open-loop and closed-loop control when sensing incurs a cost. Al(cid:173) though we assume reliable sensors, use of open-loop control means that actions must sometimes be taken when the current state of the controlled system is uncertain. This is a special case of the hidden-state problem in reinforcement learning, and to cope, our algorithm relies on short-term memory.