On the adaptive control of a class of partially observed Markov decision processes

  • Authors:
  • Shun-Pin Hsu;Dong-Ming Chuang;Ari Arapostathis

  • Affiliations:
  • National Chung-Hsing University, Electrical Engineering, Taichung, Taiwan;The University of Texas, Electrical & Computer Engineering, Austin, TX;The University of Texas, Electrical & Computer Engineering, Austin, TX

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

We study the adaptive control problems of a class of discrete-time partially observed Markov decision processes whose transition kernels are parameterized by a unknown vector. Given a sequence of parameter estimates converging to the true value with probability 1, we propose an adaptive control policy and show that under some conditions this policy is self-optimizing in the long-run average sense.