计算机集成制造系统 ›› 2013, Vol. 19 ›› Issue (05 ): 941-945.

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考虑调整误差的多变量设置调整问题

张志杰,牛占文,何桢   

  1. 天津大学管理与经济学部
  • 出版日期:2013-05-31 发布日期:2013-05-31
  • 基金资助:
    国家自然科学基金资助项目(70931004,71071107);国家杰出青年科学基金资助项目(71225006)。

Setup adjustment problem for multivariate process considering adjustment error

  • Online:2013-05-31 Published:2013-05-31
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.70931004,71071107),and the National Science Fund for Distinguished Young Scholars,China(No.71225006).

摘要: 针对存在初始设置偏差的离散多变量生产制造过程,研究了调整误差服从自回归模型的情况下,考虑调整花费成本为二次型函数时的设置调整问题,在建立过程状态空间方程的基础上,利用卡尔曼滤波方法在线估计过程的状态变量,根据随机二次型最优控制理论得到了使过程质量损失最小的最优调整策略。通过算例解释了最优调整策略的实现方法,并进行了仿真验证,结果表明,得到的调整策略与调整误差为白噪声时的调整策略相比,能更好地减少过程总体质量损失。

关键词: 多变量过程, 统计过程控制, 状态空间模型, 卡尔曼滤波, 最优调整

Abstract: For the finite horizon multivariate process with setup error,the optimal adjustment scheme was developed to minimize the total process quality loss with quadratic cost and autoregressive adjustment error.Based on the state space process control model,the optimal adjustment scheme was derived by Kalman filter on line estimation and Linear Quadratic Gaussian (LQG) theory.The implementation method of the optimal adjustment policy was illustrated by a case,and the simulation experiment was presented.The result showed that the proposed adjustment solution could reduce the total quality loss of the process by comparing with the quality adjustment policy when adjustment error was the white noise.

Key words: multivariate process, statistical process adjustment, state space model, Kalman filter, optimal adjustment

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