Optimal boundary control of 1D colloid transport in a dead-end channel

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• 英文论文题名：Optimal boundary control of 1D colloid transport in a dead-end channel
• 论文作者：Tehuan Chen ; Chao Xu ; Zhigang Ren ; Qinfang Qian
• 英文论文作者：Tehuan Chen ; Chao Xu ; Zhigang Ren ; Qinfang Qian ; Faculty of Mechanical Engineering and Mechanics ; Ningbo University ; State Key Laboratory of Industrial Control Technology ; Zhejiang University ; School of Automation ; Guangdong University of Technology ; Operating Theatre ; Zhejiang Hospital
• 年：2017
• 作者机构：Faculty of Mechanical Engineering and Mechanics,Ningbo University;State Key Laboratory of Industrial Control Technology,Zhejiang University;School of Automation,Guangdong University of Technology;Operating Theatre,Zhejiang Hospital;
• 英文论文关键词：Diffusiophoresis ; Dead-end channel ; Colloid transport ; Control parameterization ; PDE-constrained optimization ; Computational optimal control
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O232
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：336k
• 原文格式：D
• 会议级别：全国

摘要

Diffusiophoresis occurs when colloids are placed in the non-uniform solute concentration. The colloids will be propelled in the direction of higher or lower concentration of the solute. In this paper, we consider the optimal boundary control of 1D colloid transport in a dead-end channel, which has a wide range of applications such as drug delivery, biology transport,oil recovery system and so on. Thus, we introduce a coupled system describing the colloid transport process and formulate an optimal control problem, in which the goal is to minimize colloid density distribution deviation between the computational one and the target at a pre-specified terminal time. To solve this optimal problem, we derive the gradient of the objective function based on the control parameterization method with respect to the decision parameters, which depends on the solution of the coupled system and the costate system. Finally, we propose an effective computational method and a gradient-based optimization algorithm to solve the optimal control problem numerically.
Diffusiophoresis occurs when colloids are placed in the non-uniform solute concentration. The colloids will be propelled in the direction of higher or lower concentration of the solute. In this paper, we consider the optimal boundary control of 1D colloid transport in a dead-end channel, which has a wide range of applications such as drug delivery, biology transport,oil recovery system and so on. Thus, we introduce a coupled system describing the colloid transport process and formulate an optimal control problem, in which the goal is to minimize colloid density distribution deviation between the computational one and the target at a pre-specified terminal time. To solve this optimal problem, we derive the gradient of the objective function based on the control parameterization method with respect to the decision parameters, which depends on the solution of the coupled system and the costate system. Finally, we propose an effective computational method and a gradient-based optimization algorithm to solve the optimal control problem numerically.

引文

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