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本文针对随机系统提出基于输入匹配的最优自适应控制器的设计方法，证明了参数估计的收敛性及自适应控制收敛于一步超前的最优控制。仿真结果证实该参数估计的算法和控制设计是成功的。
In this paper, a design method of optimal adaptive controller based on input matching is proposed for stochastic systems, which proves that the convergence of parameter estimation and adaptive control converge to the one-step optimal control. The simulation results show that the algorithm and control design of this parameter estimation are successful.