预测控制中逆矩阵的递推求解算法

来源期刊：中南大学学报(自然科学版)1997年第4期

论文作者：彭辉 桂卫华

文章页码：380 - 382

关键词：预测控制； 逆矩阵； 递推算法

Key words：predictive control； inverse matrix； recursion algorithm

摘    要：在各种自校正预测控制算法中，计算最优即时控制时均需在线进行矩阵求逆运算．作者针对各类预测控制算法中需求逆矩阵的普遍情形，采用矩阵分解方法，推导出一种可适用于各类预测控制算法的逆矩阵在线递推求解算法．本算法比传统增广矩阵求逆算法的计算量小，且适用性广，因而采用该算法可显著提高各种自校正预测控制算法的实时性．

Abstract: The computation of inversing matrix on-line is required in various self-tuning predictive control algorithms. A recursive algorithms of evaluating the inverse matrix adapted to various predictive control algorithms is proposed based on the matrix decomposition. The calculation required in this algorithm is far less than that in traditional incremental matrix inversion method, and its applicability is extensive.