Adaptive Linear Quadratic Control Using Policy Iteration

  • Authors:
  • Steven J. Bradtke;B. E Ydstie;Andrew G. Barto

  • Affiliations:
  • -;-;-

  • Venue:
  • Adaptive Linear Quadratic Control Using Policy Iteration
  • Year:
  • 1994

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Abstract

In this paper we present stability and convergence results for Dynamic Programming-based reinforcement learning applied to Linear Quadratic Regulation (LQR). The specific algorithm we analyze is based on Q-learning and it is proven to converge to the optimal controller provided that the underlying system is controllable and a particular signal vector is persistently excited. The performance of the algorithm is illustrated by applying it to a model of a flexible beam.