Analyze initial state errors of point-to-point iterative learning control for batch process

doi:10.11949/j.issn.0438-1157.20170106

CIESC Journal ›› 2017, Vol. 68 ›› Issue (7): 2826-2832.DOI: 10.11949/j.issn.0438-1157.20170106

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Analyze initial state errors of point-to-point iterative learning control for batch process

HONG Yingdong, XIONG Zhihua, JIANG Yongheng, YE Hao

Department of Automation, Tsinghua University, Beijing 100084, China

Received:2017-01-22 Revised:2017-04-06 Online:2017-07-05 Published:2017-07-05
Contact: 10.11949/j.issn.0438-1157.20170106
Supported by:
supported by the National Natural Science Foundation of China (61473162).

间歇过程点对点迭代学习控制的初始状态误差分析

洪英东, 熊智华, 江永亨, 叶昊

清华大学自动化系, 北京 100084

通讯作者: 熊智华
基金资助:
国家自然科学基金项目（61473162）。

Abstract

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.

Key words: initial condition, iterative learning control, two-dimensional system theory, point-to-point tracking control

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

CLC Number:

TP13

HONG Yingdong, XIONG Zhihua, JIANG Yongheng, YE Hao. Analyze initial state errors of point-to-point iterative learning control for batch process[J]. CIESC Journal, 2017, 68(7): 2826-2832.

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.

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Analyze initial state errors of point-to-point iterative learning control for batch process

间歇过程点对点迭代学习控制的初始状态误差分析

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[2]	WANG Zhiwen, LIU Yi, GAO Zengliang. 2D-PID adaptive control method for time-varying batch processes [J]. CIESC Journal, 2016, 67(3): 991-997.
[3]	XIONG Zhihua, ZHANG Jie, DONG Jin. Optimal Iterative Learning Control for Batch Processes Based on Linear Time-varying Perturbation Model [J]. , 2008, 16(2): 235-240.