arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.00644eess.SYcs.SY
收藏

DMPC:一种数据和模型驱动的预测控制方法

DMPC: A Data-and Model-Driven Approach to Predictive Control

Hassan Jafarzadeh, Cody Fleming

摘要:

本文提出了数据和模型驱动的预测控制(DMPC)方法,用于解决某些约束条件或目标函数部分已知,而另一些约束条件或目标函数部分未知的控制问题。假设存在一个外生的"黑箱“系统,例如机器学习技术,它预测给定轨迹的未知函数的值。DMPC(1)提供了一种合并基于模型的系统和黑盒系统的方法;(2)可以处理非常少的数据,并且是样本效率高的,基于最近生成的轨迹构建其解决方案;(3)在每次迭代中提高其成本,直到收敛到最佳轨迹,即使对于非线性动力学和目标,通常也只需要几次试验。理论分析的算法,证明了质量的轨迹不会恶化,每一个新的迭代,以及提供的复杂性的界限。本文将DMPC算法应用于具有非线性动力学的自主车辆的运动规划。

英文摘要:

This work presents DMPC (Data-and Model-Driven Predictive Control) to solve control problems in which some of the constraints or parts of the objective function are known, while others are entirely unknown to the controller. It is assumed that there is an exogenous ``black box'' system, e.g. a machine learning technique, that predicts the value of the unknown functions for a given trajectory. DMPC (1) provides an approach to merge both the model-based and black-box systems; (2) can cope with very little data and is sample efficient, building its solutions based on recently generated trajectories; and (3) improves its cost in each iteration until converging to an optimal trajectory, typically needing only a few trials even for nonlinear dynamics and objectives. Theoretical analysis of the algorithm is presented, proving that the quality of the trajectory does not worsen with each new iteration, as well as providing bounds on the complexity. We apply the DMPC algorithm to the motion planning of an autonomous vehicle with nonlinear dynamics.

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。

↑