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    • 1. 发明申请
    • Method for Solving Control Problems
    • 解决控制问题的方法
    • US20120150324A1
    • 2012-06-14
    • US12962744
    • 2010-12-08
    • Matthew BrandVijay ShilpiekandulaScott A. Bortoff
    • Matthew BrandVijay ShilpiekandulaScott A. Bortoff
    • G05B13/04
    • G05B13/048
    • A method solves a quadratic programming (QP) problem in real-time implementations of model predictive control for automation applications. The method can be implemented for fine-grained parallel solutions. Due to the extreme simplicity of the method, even serial implementations offer considerable speed advantages. The method solves the problem by formulating, over a predetermined time interval, an optimization problem with a quadratic cost function, and linear state and control constraints as a quadratic program for the application. Then, the quadratic program is solved by applying a parallel quadratic programming update law starting from a positive initial estimate to obtain control actions for the application.
    • 一种方法解决了自动化应用中模型预测控制的实时实现中的二次规划(QP)问题。 该方法可以实现细粒度并行解决方案。 由于该方法非常简单,即使串行实现也提供了相当快的优势。 该方法通过在预定的时间间隔内通过二次成本函数,线性状态和控制约束作为应用程序的二次方案来制定问题。 然后,通过应用从正初始估计开始的并行二次规划更新定律来求解二次程序,以获得应用的控制动作。
    • 2. 发明授权
    • Method for solving control problems
    • 解决控制问题的方法
    • US08554343B2
    • 2013-10-08
    • US12962744
    • 2010-12-08
    • Matthew BrandVijay ShilpiekandulaScott A Bortoff
    • Matthew BrandVijay ShilpiekandulaScott A Bortoff
    • G05B13/02
    • G05B13/048
    • A method solves a quadratic programming (QP) problem in real-time implementations of model predictive control for automation applications. The method can be implemented for fine-grained parallel solutions. Due to the extreme simplicity of the method, even serial implementations offer considerable speed advantages. The method solves the problem by formulating, over a predetermined time interval, an optimization problem with a quadratic cost function, and linear state and control constraints as a quadratic program for the application. Then, the quadratic program is solved by applying a parallel quadratic programming update law starting from a positive initial estimate to obtain control actions for the application.
    • 一种方法解决了自动化应用中模型预测控制的实时实现中的二次规划(QP)问题。 该方法可以实现细粒度并行解决方案。 由于该方法非常简单,即使串行实现也提供了相当快的优势。 该方法通过在预定的时间间隔内通过二次成本函数,线性状态和控制约束作为应用程序的二次方案来制定问题。 然后,通过应用从正初始估计开始的并行二次规划更新定律来求解二次程序,以获得应用的控制动作。
    • 5. 发明申请
    • Method for Editing Images and Videos
    • 编辑图像和视频的方法
    • US20100183242A1
    • 2010-07-22
    • US12356398
    • 2009-01-20
    • Matthew Brand
    • Matthew Brand
    • G06K9/36
    • G06T3/0093G11B27/034G11B27/036
    • A method edits editing an input image to produce an output image by first partitioning pixels of the input image into sets of adjacent pixels. Then, for each set, a trellis of nodes connected by directed links is defined. Each node corresponds to one of the pixels in the set of pixels, and an action and location of the pixel in the output image. Costs are assigned to the nodes and the links. A least cost path through the trellis is determined, and pixels corresponding to the nodes on the least cost path are edited according to the action and location to form the output image.
    • 一种方法通过首先将输入图像的像素划分为相邻像素的集合来编辑输入图像以产生输出图像。 然后,对于每个集合,定义通过定向链路连接的节点的网格。 每个节点对应于像素集合中的像素之一以及输出图像中像素的动作和位置。 成本分配给节点和链接。 确定通过网格的最小成本路径,并且根据动作和位置编辑对应于最小成本路径上的节点的像素以形成输出图像。