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    • 2. 发明授权
    • Efficient quadratic programming (QP) solver for process control and optimization
    • 用于过程控制和优化的高效二次规划(QP)求解器
    • US08600525B1
    • 2013-12-03
    • US13485594
    • 2012-05-31
    • Ghulam MustafaJiadong WangTongwen ChenDanlei ChuJohan U. Backstrom
    • Ghulam MustafaJiadong WangTongwen ChenDanlei ChuJohan U. Backstrom
    • G05B15/00G05B13/02
    • G05B13/048
    • A method includes identifying an initial solution to a quadratic programming (QP) problem associated with a process. The method also includes performing an iterative procedure having one or more iterations. Each iteration includes determining whether any constraint associated with the process is violated in the solution. Each iteration also includes selecting a violated constraint, determining a step direction and a step length associated with the selected violated constraint, and updating the solution based on the step direction and the step length. Determining the step direction and the step length includes using a Schur complement based on an active set of constraints associated with the solution. The Schur complement is nonsingular during all iterations of the iterative procedure except when the active set is empty.
    • 一种方法包括识别与过程相关联的二次规划(QP)问题的初始解决方案。 该方法还包括执行具有一个或多个迭代的迭代过程。 每个迭代包括确定解决方案中是否违反与进程相关联的约束。 每个迭代还包括选择违反的约束,确定与所选择的违反约束相关联的步长方向和步长,以及基于步长方向和步长来更新解。 确定步骤方向和步长包括使用基于与该解决方案相关联的一组有效约束的Schur补码。 在迭代过程的所有迭代期间,Schur补码是非奇异的,除非活动集为空。