论文标题
基于快速自适应回归的模型预测控制
Fast Adaptive Regression-based Model Predictive Control
论文作者
论文摘要
模型预测控制(MPC)是一种最佳控制方法,可预测系统控制系统的未来状态,并估算将预测状态驱动到所需参考的最佳控制输入。 MPC的计算是在有限的时间范围内在预定的样本实例上进行的。样本实例的数量和地平线长度决定了MPC的性能及其计算成本。带有大量样本计数的较长视野使MPC可以更好地估计输入随着时间的流逝而迅速变化,这会导致更好的性能,但以高计算成本为代价。但是,这个漫长的视野并不总是必要的,尤其是对于缓慢变化的状态。在这种情况下,优选样品计数的短范围是可取的,因为可以获得相同的MPC性能,但以计算成本的一小部分获得。在本文中,我们提出了一个基于自适应回归的MPC,该MPC预测了从状态的随时间变化中提取的几种特征,可预测最佳的最小程度和样品计数。提出的技术使用系统模型构建合成数据集,并利用数据集训练执行预测的支持向量回归器。在实验上,该技术与线性和非线性模型上的几种最新技术进行了比较。与其他技术相比,该技术的计算时间降低了约35-65 \%,而降低了约35-65%,而没有引入明显的性能损失。
Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations of the MPC are performed at pre-determined sample instances over a finite time horizon. The number of sample instances and the horizon length determine the performance of the MPC and its computational cost. A long horizon with a large sample count allows the MPC to better estimate the inputs when the states have rapid changes over time, which results in better performance but at the expense of high computational cost. However, this long horizon is not always necessary, especially for slowly-varying states. In this case, a short horizon with less sample count is preferable as the same MPC performance can be obtained but at a fraction of the computational cost. In this paper, we propose an adaptive regression-based MPC that predicts the best minimum horizon length and the sample count from several features extracted from the time-varying changes of the states. The proposed technique builds a synthetic dataset using the system model and utilizes the dataset to train a support vector regressor that performs the prediction. The proposed technique is experimentally compared with several state-of-the-art techniques on both linear and non-linear models. The proposed technique shows a superior reduction in computational time with a reduction of about 35-65\% compared with the other techniques without introducing a noticeable loss in performance.