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H∞ tracking control for linear discrete‐time systems via reinforcement learning
Authors:Ying‐Ying Liu  Zhan‐Shan Wang  Zhan Shi
Abstract:In this paper, the H tracking control of linear discrete‐time systems is studied via reinforcement learning. By defining an improved value function, the tracking game algebraic Riccati equation with a discount factor is obtained, which is solved by iteration learning algorithms. In particular, Q‐learning based on value iteration is presented for H tracking control, which does not require the system model information and the initial allowable control policy. In addition, to improve the practicability of algorithm, the convergence analysis of proposed algorithm with a discount factor is given. Finally, the feasibility of proposed algorithms is verified by simulation examples.
Keywords:Bellman equation  H∞  tracking control  reinforcement learning  value iteration
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