FPGA Implementation of a Recursive Rank One Updating Matrix Inversion Algorithm for Constrained MPC

机译：约束MPC的递归秩一更新矩阵求逆算法的FPGA实现

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The core computation load of a constrained Model Predictive Control (MPC) problem with interior point method is to solve a linear equation during every iteration. According to the specific feature from problem formulation for constrained MPC, this paper proposed a recursive rank one updating matrix inversion algorithm for solving the linear equation. This algorithm is hardware implementation oriented. Its efficiency in implementing constrained MPC is verified by FPGA implementation results. More over, some important issues related to FPGA implementation of control algorithms are also investigated and discussed.

机译：内点方法的受限模型预测控制（MPC）问题的核心计算负载是在每次迭代期间求解线性方程。根据来自受约束MPC的问题制定的特定特征，本文提出了一种递归等级，用于求解线性方程的一个更新矩阵反转算法。该算法是面向硬件实现的。其实现约束MPC的效率是通过FPGA实现结果验证的。更多结束，还研究了与FPGA实施相关的控制算法相关的一些重要问题，并讨论过。

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《Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on》||P.733-737|共5页
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Minghua He; Chong Chen; Xueying Zhang;
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中图分类工业技术;
关键词
Constrained MPC; FPGA Implementation; Matrix Inversion; Rank One Updating; Constrained MPC; FPGA Implementation; Matrix Inversion; Rank One Updating;

机译：约束MPC; FPGA实现;矩阵求逆;排名1更新;约束MPC; FPGA实现;矩阵求逆;排名1更新;

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3. FPGA-based implementation of recursive algorithms [J] . Valery Sklyarov Microprocessors and microsystems . 2004,第5a6期

机译：基于FPGA的递归算法实现
4. FPGA Implementation of a Recursive Rank One Updating Matrix Inversion Algorithm for Constrained MPC [C] . Minghua He, Chong Chen, Xueying Zhang World Congress on Intelligent Control and Automation . 2006

机译：FPGA实现递归排名1更新约束MPC的矩阵反转算法
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7. FPGA Implementation of Matrix Inversion Using QRD-RLS Algorithm [O] . Karkooti, Marjan, Cavallaro, Joseph R., Dick, Chris 2006

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8. INVERSION OF THE LEVEL MATRIX IN R-MATRIX THEORY BY THE METHOD OF RANK ANNIHILATION [R] . T. Watanabe 1967

机译：RaNK矩阵理论中的水平矩阵的变换湮没方法

FPGA Implementation of a Recursive Rank One Updating Matrix Inversion Algorithm for Constrained MPC

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