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    • 2. 发明授权
    • Batch type heat treatment system, method for controlling same, and heat treatment method
    • 批式热处理系统,其控制方法和热处理方法
    • US06730885B2
    • 2004-05-04
    • US09897908
    • 2001-07-05
    • Fujio SuzukiWenling WangKoichi SakamotoMoyuru YasuharaSunil ShahPradeep Pandey
    • Fujio SuzukiWenling WangKoichi SakamotoMoyuru YasuharaSunil ShahPradeep Pandey
    • H05B302
    • H01L21/67248H01L21/67109
    • There is provided a batch type heat treatment system, control method and heat treatment method capable of appropriately coping with a multi-product small-lot production. A reaction tube 2 comprises a plurality of heaters 31 through 35 and a plurality of temperature sensors, and houses therein a wafer boat 23. A control part 100 stores therein many mathematical models for estimating (calculating) the temperature of wafers W in the reaction tube 2, in accordance with the number and arranged position of the wafers W mounted on the wafer boat 23, and many target temperature trajectories. If the wafer boat 23 is loaded in the reaction tube 2, a mathematical model and a target temperature trajectory corresponding to the number and arranged position of the mounted wafers W are read. If a deposition process is started, the output of a temperature sensor S and the model are used for estimating the temperature of the wafers W in the reaction tube 2, and the powers to be supplied to the heaters 31 through 35 are separately controlled so that the estimated temperature approaches the target temperature trajectory.
    • 提供能够适当应对多产品小批量生产的批式热处理系统,控制方法和热处理方法。反应管2包括多个加热器31至35和多个温度传感器,以及 在其中容纳晶片舟23.控制部分100存储许多用于根据安装在晶片舟23上的晶片W的数量和布置位置来估计(计算)反应管2中的晶片W的温度的数学模型 ,以及许多目标温度轨迹。 如果晶片舟23装载在反应管2中,则读取与安装的晶片W的数量和排列位置对应的数学模型和目标温度轨迹。 如果开始沉积工艺,则使用温度传感器S和模型的输出来估计反应管2中的晶片W的温度,并且分别控制供给到加热器31至35的功率,使得 估计的温度接近目标温度轨迹。
    • 7. 发明授权
    • Method for real-time nonlinear system state estimation and control
    • 实时非线性系统状态估计与控制方法
    • US06285971B1
    • 2001-09-04
    • US09372396
    • 1999-08-10
    • Sunil C. ShahPradeep Pandey
    • Sunil C. ShahPradeep Pandey
    • G06F1750
    • G05B13/04
    • A method for the estimation of the state variables of nonlinear systems with exogenous inputs is based on improved extended Kalman filtering (EKF) type techniques. The method uses a discrete-time model, based on a set of nonlinear differential equations describing the system, that is linearized about the current operating point. The time update for the state estimates is performed using integration methods. Integration, which is accomplished through the use of matrix exponential techniques, avoids the inaccuracies of approximate numerical integration techniques. The updated state estimates and corresponding covariance estimates use a common time-varying system model for ensuring stability of both estimates. Other improvements include the use of QR factorization for both time and measurement updating of square-root covariance and Kalman gain matrices and the use of simulated annealing for ensuring that globally optimal estimates are produced.
    • 用外推法估计非线性系统的状态变量的方法是基于改进的扩展卡尔曼滤波(EKF)类型技术。 该方法使用离散时间模型,基于描述系统的一组非线性微分方程,其关于当前工作点线性化。 使用集成方法执行状态估计的时间更新。 通过使用矩阵指数技术实现的集成避免了近似数值积分技术的不准确性。 更新的状态估计和相应的协方差估计使用通用的时变系统模型来确保两个估计的稳定性。 其他改进包括使用QR因子分析进行时间和平方根协方差和卡尔曼增益矩阵的测量更新,以及使用模拟退火确保产生全局最优估计。