arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.07118eess.SYcs.SYmath.OC
收藏

数据驱动的动态多目标最优控制:一种满足期望的强化学习方法

Data-driven Dynamic Multi-objective Optimal Control: An Aspiration-satisfying Reinforcement Learning Approach

Majid Mazouchi, Yongliang Yang, Hamidreza Modares

摘要:

本文提出了一种数据驱动的迭代算法,用于求解非线性连续时间系统的动态多目标最优控制问题。它首先表明,对应于每个目标的哈密顿功能可以利用比较性能的容许政策。哈密顿不等式,然后使用,他们的满意度保证满足目标的愿望。然后提出了一个满足期望的动态优化框架,在满足其他目标期望的同时优化主目标。关系满意(足够好)的决策框架。基于平方和(SOS)的迭代算法来解决制定的愿望满足MO优化。为了满足系统动力学完全知识的要求,提出了一种数据驱动的满意强化学习方法,在不完全了解系统动力学的情况下,仅利用一段时间内测量的系统轨迹信息实时求解SOS优化问题.最后通过两个仿真实例验证了该算法的有效性。

英文摘要:

This paper presents an iterative data-driven algorithm for solving dynamic multi-objective (MO) optimal control problems arising in control of nonlinear continuous-time systems. It is first shown that the Hamiltonian functional corresponding to each objective can be leveraged to compare the performance of admissible policies. Hamiltonian-inequalities are then used for which their satisfaction guarantees satisfying the objectives' aspirations. An aspiration-satisfying dynamic optimization framework is then presented to optimize the main objective while satisfying the aspiration of other objectives. Relation to satisficing (good enough) decision-making framework is shown. A Sum-of-Square (SOS) based iterative algorithm is developed to solve the formulated aspiration-satisfying MO optimization. To obviate the requirement of complete knowledge of the system dynamics, a data-driven satisficing reinforcement learning approach is proposed to solve the SOS optimization problem in real-time using only the information of the system trajectories measured during a time interval without having full knowledge of the system dynamics. Finally, two simulation examples are provided to show the effectiveness of the proposed algorithm.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑