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| A Reinforcement Learning Method for LQR Control Problem |
| WEN Feng, CHEN ZongHai, ZHOU GuangMing, CHEN ChunLin |
| Department of Automation, University of Science and Technology of China, Hefei 230027 |
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Abstract Current convergence analyses of reinforcement learning method are mainly applied to discrete state problems. Analyses of continuous state reinforcement learning method are limited to simple LQR control problems. After analyzing two convergent reinforcement learning methods for LQR control problem, a new method only requiring partial model information is proposed to make up for the defects of these two methods. In this method, a recursive leastsquares TD method is used to estimate parameters of value function and a recursive leastsquares method is used to estimate the greedily improved policy. In theoretical analysis, a convergence proof is presented for the proposed policy iteration method in ideal case. Simulation result shows that this method converges an optimal control policy.
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Received: 07 June 2004
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2006, Vol. 19 
