Relaxed Optimal Control With Self-Learning Horizon for Discrete-Time Stochastic Dynamics
提出一种带自学习时域的松弛策略迭代算法，通过直接评估不可行策略降低初始化负担并快速优化，适用于含外部噪声和非零平衡点的随机最优控制问题。
The innovation of optimal learning control methods is profoundly propelled due to the improvement of the learning ability. In this article, we investigate the synthesis of initialization and acceleration for optimal learning control algorithms. This approach contrasts with traditional methods that concentrate solely on either the improvement of initialization or acceleration. Specifically, we establish a novel relaxed policy iteration (PI) algorithm with self-learning horizon for stochastic optimal control. Notably, by suitably utilizing self-learning horizon, we can directly evaluate inadmissible policies to reduce the initialization burden. Meanwhile, the inadmissible policy can be rapidly optimized with few learning iterations. Then, several critical conclusions of relaxed optimal control are established by discussing algorithm convergence and system stability. Furthermore, to provide the convincing application potentials, a class of unconventional problems is effectively solved by the relaxed PI algorithm, including the dynamics with external noises and nonzero equilibrium. Finally, we present a series of nonlinear benchmarks with practical applications to comprehensively evaluate the performance of relaxed PI. The experimental results obtained from these diverse benchmarks uniformly highlight the effectiveness of self-learning horizon mechanism.