| 引用本文: | 万莉,谭斐,潘天红.测量时延在线估计与批间控制器协同设计[J].控制理论与应用,2016,33(1):92~97.[点击复制] |
| WAN Li,TAN Fei,PAN Tian-hong.Online estimation of time-varying metrology delay and run-to-run control co-design[J].Control Theory and Technology,2016,33(1):92~97.[点击复制] |
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| 测量时延在线估计与批间控制器协同设计 |
| Online estimation of time-varying metrology delay and run-to-run control co-design |
| 摘要点击 2714 全文点击 1841 投稿时间：2015-04-26 修订日期：2015-06-28 |
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| DOI编号 10.7641/CTA.2016.50337 |
| 2016,33(1):92-97 |
| 中文关键词 批间控制 双指数加权滑动平均 时延 贝叶斯理论 |
| 英文关键词 run-to-run control (R2R) double exponent weighted moving average (d–EWMA) metrology delay Bayesian theory |
| 基金项目 国家自然科学基金(61273142), 江苏省六大人才高峰(2012–DZXX–045), 江苏省高校优势学科建设工程项目(PAPD)资助. |
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| 中文摘要 |
| 批间控制是半导体批次生产过程中常用算法, 其关键问题在于能够及时获取上一批次的制程输出, 受测量
手段及其成本限制, 实际的生产制程很难满足这一要求. 为此, 本文提出一种基于贝叶斯统计分析的测量时延估计
算法. 在分析晶圆质量与实测时延、估计时延、以及制程漂移之间的逻辑关系的基础上, 并将晶圆的质量信息按加
工时间顺序划分两个相邻的滚动时间窗口. 基于贝叶斯后验概率函数, 及时捕获后一个滚动时间窗口内过程输出
发生漂移的概率, 从而判断是否有测量时延发生, 并估算该时延大小. 在此基础上, 给出批间控制器的测量时延补
偿策略, 及时调整制程的控制量, 提高晶圆的加工品质. 仿真结果验证所提出算法的有效性. |
| 英文摘要 |
| Run-to-run (R2R) control has been widely used in the semiconductor manufacturing processes. The core of
the algorithm is to obtain the process output at previous runs. Restricted by the measurement tool and cost, it is impossible to
obtain the quality data timely. We propose an estimation algorithm for estimating the time-varying metrology delay by using
the Bayesian statistical analysis. Firstly, we analyze the logical relationship among the wafer quality, the real measurement
time-delay, the estimated measurement time-delay and the drift of the process. The wafer quality data is divided into two
parts and put in two adjacent moving windows according to the wafer manufacturing sequence. Then, the occurrence
probability of the time-varying metrology delay is determined based on the value of Bayesian posterior probability in the
second moving window. The delay value is calculated by a trial and error method. On this basis, the delay compensation
value for the R2R controller is determined, the control value of the manufacturing process is adjusted accordingly, and the
quality of product is improved. The simulation example validates the efficacy of the proposed algorithm. |
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