论文标题

数据驱动的策略迭代算法,用于连续时间随机线性季度最佳控制问题

Data-driven policy iteration algorithm for continuous-time stochastic linear-quadratic optimal control problems

论文作者

Zhang, Heng, Li, Na

论文摘要

本文研究了无限 - 摩尼子上的连续时间随机线性季节(SLQ)最佳控制问题。提出了一个数据驱动的策略迭代算法来解决SLQ问题。在不知道三个系统系数矩阵的情况下,该算法使用收集的数据迭代近似于相应的随机代数riccati方程(SARE)的解决方案。提供了一个模拟示例来说明算法的有效性和适用性。

This paper studies a continuous-time stochastic linear-quadratic (SLQ) optimal control problem on infinite-horizon. A data-driven policy iteration algorithm is proposed to solve the SLQ problem. Without knowing three system coefficient matrices, this algorithm uses the collected data to iteratively approximate a solution of the corresponding stochastic algebraic Riccati equation (SARE). A simulation example is provided to illustrate the effectiveness and applicability of the algorithm.

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