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In this paper, a discounted value iteration algorithm is developed to settle with the optimal regulation problem for linear discrete-time zero-sum games. The Hamilton-Jacobi-Isaacs equation and the game algebraic Riccati equation are provided with the discount factor. In addition, because of the implementation of the discount factor, the stability of the system might be affected. Then, we establish the stability condition to seek out the stabilized optimal control strategies, which not merely make the cost function converge to the optimal value, but also ensure the system achieves asymptotic stability. Furthermore, the corresponding stability analysis is discussed. Finally, a practical example of the one-tank system is conducted to illustrate the performance of the presented method. © 2024 IEEE.
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年份: 2024
页码: 988-992
语种: 英文
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