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Lebesgue-Sampling-Based Optimal Control Problems With Time Aggregation

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2 Author(s)
Yan-Kai Xu ; Beijing Geosci. Center, Schlumberger Ltd., Beijing, China ; Xi-Ren Cao

We formulate the Lebesgue-sampling-based optimal control problem. We show that the problem can be solved by the time aggregation approach in Markov decision processes (MDP) theory. Policy-iteration-based and reinforcement-learning-based methods are developed for the optimal policies. Both analytical solutions and sample-path-based algorithms are given. Compared to the periodic-sampling scheme, the Lebesgue sampling scheme improves system performance.

Published in:

Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 5 )