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间歇过程点对点迭代学习控制的初始状态误差分析
引用本文:洪英东,熊智华,江永亨,叶昊. 间歇过程点对点迭代学习控制的初始状态误差分析[J]. 化工学报, 2017, 68(7): 2826-2832. DOI: 10.11949/j.issn.0438-1157.20170106
作者姓名:洪英东  熊智华  江永亨  叶昊
作者单位:清华大学自动化系, 北京 100084
基金项目:国家自然科学基金项目(61473162)。
摘    要:针对间歇过程点对点跟踪控制问题,在轨迹更新的迭代学习控制算法框架下,针对非理想初始状态情况下3种不同的初始误差,通过2D Roesser模型对其进行描述并分析其收敛性。给出了不同的情况下系统相对参考轨迹的零误差跟踪或者收敛到特定邻域的条件,在零误差跟踪不能实现的情况下给出了邻域的范围。通过数值模型仿真验证了给出的收敛条件和收敛边界,并分析了不同因素对收敛边界的影响。

关 键 词:初始状态  迭代学习控制  2D系统理论  点对点跟踪  
收稿时间:2017-01-22
修稿时间:2017-04-06

Analyze initial state errors of point-to-point iterative learning control for batch process
HONG Yingdong,XIONG Zhihua,JIANG Yongheng,YE Hao. Analyze initial state errors of point-to-point iterative learning control for batch process[J]. Journal of Chemical Industry and Engineering(China), 2017, 68(7): 2826-2832. DOI: 10.11949/j.issn.0438-1157.20170106
Authors:HONG Yingdong  XIONG Zhihua  JIANG Yongheng  YE Hao
Affiliation:Department of Automation, Tsinghua University, Beijing 100084, China
Abstract:To address problems of point-to-point tracking control for batch processes, three different initial errors of non-ideal initial states were analyzed and studied for convergence by 2 D Roesser model within the framework of tracking control algorithm. Conditions were provided to achieve zero or a neighborhood of zero tracking control errors between system and reference trajectory at various scenarios. For these unable to achieve zero tracking errors, boundaries of final tracking errors were given. Numerical simulation validated these convergence conditions and boundaries, and assessed effect of control parameters on these boundaries.
Keywords:initial condition  iterative learning control  two-dimensional system theory  point-to-point tracking control  
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