Control vector parameterization approach with variable time nodes

ZHANG Xiaodong; LI Shurong; LEI Yang; ZHANG Qiang

doi:10.3969/j.issn.0438-1157.2012.09.021

您当前的位置：

首页 >

文章列表页 >

Control vector parameterization approach with variable time nodes

更新时间：2025-12-10

- Control vector parameterization approach with variable time nodes
- CIESC Journal Issue 9, Pages: 2805-2811(2012)
- 作者机构：
  
  中国石油大学(华东)信息与控制工程学院,山东,青岛,266580
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0438-1157.2012.09.021
  CLC： P273O232
- Online First：05 September 2012，
  
  Published：05 September 2012
- 稿件说明：
移动端阅览
ZHANG Xiaodong, LI Shurong, LEI Yang, et al. Control vector parameterization approach with variable time nodes[J]. CIESC Journal, 2012, (9): 2805-2811.
DOI：

ZHANG Xiaodong, LI Shurong, LEI Yang, et al. Control vector parameterization approach with variable time nodes[J]. CIESC Journal, 2012, (9): 2805-2811. DOI： 10.3969/j.issn.0438-1157.2012.09.021.

摘要

控制向量参数化方法是求解最优控制的一种常用方法

其时间网格通常是固定的。在每个时间段上

控制向量表示为由一组参数确定的时间的函数。时间网格的划分会影响到数值求解最优控制问题时最优化算法的准确性和效率。为了同时优化控制参数和时间网格的节点

提出了一种可变时间节点控制向量参数化方法

通过带有时间参数的S型函数来近似分段常数参数化方法中的切换过程。推导出了最优控制性能指标对时间参数的导数

并提出了处理时间节点约束的算法。利用所提出方法求解带有两个控制的最优控制实例

对于两个控制获得了不同的时间网格划分

从而能够更好地近似最优控制轨迹。

Abstract

To solve optimal control problem

the control vector parameterization(CVP)approach is often used and the time grid nodes are usually fixed.In each time intervals

the controls are approximated by a function of time

which is determined by parameters.The partition of time grid will take effects on the accuracy and performance of the numerical optimization algorithm used to solve the original optimal control problem.A CVP method with variable time nodes is presented to optimize both of the control parameters and time nodes in the grid partition.The time node parameter is introduced by sigmoid function which approximate the switch procedure in the piecewise constant parameterization method.The derivatives of the performance to time nodes are derived and the time nodes constraints are handled by a given algorithm.An example of optimal control problem with two controls is solved by the proposed method.The different time grid partitions of two controls are obtained which show a higher approximation of the optimal control trajectories.

关键词

Keywords

references

Views

245

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Biogeography-based learning particle swarm optimization method for solving dynamic optimization problems in chemical processes

A variable time nodes control vector parameterization approach for solving optimal control problems

Optimal control strategies combined with PSO and control vector parameterization for batchwise chemical process

Oxygen mass transfer performance of hollow fiber non-bubble aeration membrane based on gas/liquid-phase measurement method

Corrosion health status assessment method for refining unit pipeline based on GLAE-MLP

Related Author

CHEN Xu

MEI Congli

XU Bin

DING Yuhan

LIU Guohai

LI Guodong

LIU Xinggao

Bowen SHI

Related Institution

School of Electrical and Information Engineering, Jiangsu University

Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology

School of Mechanical Engineering, Shanghai University of Engineering Science

State Key Laboratory of Industry Control Technology, Department of Control, Zhejiang University

Key Laboratory of Advanced Control for Light Industry Process, Ministry of Education, Jiangnan University

⁰