arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.14120eess.SYcs.SYmath.OC
收藏

自适应模型预测控制的积极探索

Active exploration in adaptive model predictive control

Anilkumar Parsi, Andrea Iannelli, Roy S. Smith

摘要:

针对状态空间矩阵中存在有界扰动和参数不确定性的线性定常系统,提出了一种对偶自适应模型预测控制(MPC)算法。在线集员辨识是为了减少不确定性,因此控制既影响辨识的信息量,又影响系统的性能。本文的主要贡献是在MPC优化问题中使用目标函数中的预测最坏情况成本来包括这种双重效应。这允许控制器执行主动探索,也就是说,控制输入减少了对性能影响最大的参数空间区域中的不确定性。此外,MPC算法确保状态和输入约束的鲁棒约束满足。所提出的算法的优点是通过比较它从文献中的被动自适应MPC算法。

英文摘要:

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is performed to reduce the uncertainty and thus control affects both the informativity of identification and the system's performance. The main contribution of the paper is to include this dual effect in the MPC optimization problem using a predicted worst-case cost in the objective function. This allows the controller to perform active exploration, that is, the control input reduces the uncertainty in the regions of the parameter space that have most influence on the performance. Additionally, the MPC algorithm ensures robust constraint satisfaction of state and input constraints. Advantages of the proposed algorithm are shown by comparing it to a passive adaptive MPC algorithm from the literature.

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。

↑