A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach

CIESC Journal ›› 2010, Vol. 18 ›› Issue (1): 80-85.

A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach

洪伟荣¹, 谭鹏程¹, 王树青², Pu Li³

1. Institute of Process Equipment, Zhejiang University, Hangzhou 310027, China;
2. Institute of Cyber-System and Control, State Key Lab of Control Technology, Zhejiang University, Hangzhou 310027, China;
3. Institute of Automation and Systems Engineering, Ilmenau University of Technology, Ilmenau 98684, Germany

收稿日期:2009-02-20 修回日期:2009-10-16 出版日期:2010-02-28 发布日期:2010-12-30
通讯作者: HONG Weirong, E-mail: hongwr@zju.edu.cn
作者简介:
基金资助:
Supported by the National Natural Science Foundation of China(20676117);the National Creative Research Groups Science Foundation of China(60421002)

A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach

HONG Weirong¹, TAN Pengcheng¹, WANG Shuqing², Pu Li³

1. Institute of Process Equipment, Zhejiang University, Hangzhou 310027, China;
2. Institute of Cyber-System and Control, State Key Lab of Control Technology, Zhejiang University, Hangzhou 310027, China;
3. Institute of Automation and Systems Engineering, Ilmenau University of Technology, Ilmenau 98684, Germany

Received:2009-02-20 Revised:2009-10-16 Online:2010-02-28 Published:2010-12-30
Supported by:
Supported by the National Natural Science Foundation of China(20676117);the National Creative Research Groups Science Foundation of China(60421002)

摘要/Abstract

摘要： A comparison of arithmetic operations of two dynamic process optimization approaches called quasi-sequential approach and reduced Sequential Quadratic Programming(rSQP)simultaneous approach with respect to equality constrained optimization problems is presented.Through the detail comparison of arithmetic operations,it is concluded that the average iteration number within differential algebraic equations(DAEs)integration of quasi-sequential approach could be regarded as a criterion.One formula is given to calculate the threshold value of average iteration number.If the average iteration number is less than the threshold value,quasi-sequential approach takes advantage of rSQP simultaneous approach which is more suitable contrarily.Two optimal control problems are given to demonstrate the usage of threshold value.For optimal control problems whose objective is to stay near desired operating point,the iteration number is usually small.Therefore,quasi-sequential approach seems more suitable for such problems.

关键词: dynamic optimization, arithmetic operation comparison, quasi-sequential approach, simultaneous approach

Abstract: A comparison of arithmetic operations of two dynamic process optimization approaches called quasi-sequential approach and reduced Sequential Quadratic Programming(rSQP)simultaneous approach with respect to equality constrained optimization problems is presented.Through the detail comparison of arithmetic operations,it is concluded that the average iteration number within differential algebraic equations(DAEs)integration of quasi-sequential approach could be regarded as a criterion.One formula is given to calculate the threshold value of average iteration number.If the average iteration number is less than the threshold value,quasi-sequential approach takes advantage of rSQP simultaneous approach which is more suitable contrarily.Two optimal control problems are given to demonstrate the usage of threshold value.For optimal control problems whose objective is to stay near desired operating point,the iteration number is usually small.Therefore,quasi-sequential approach seems more suitable for such problems.

Key words: dynamic optimization, arithmetic operation comparison, quasi-sequential approach, simultaneous approach

洪伟荣, 谭鹏程, 王树青, Pu Li. A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach[J]. CIESC Journal, 2010, 18(1): 80-85.

HONG Weirong, TAN Pengcheng, WANG Shuqing, Pu Li. A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach[J]. , 2010, 18(1): 80-85.

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A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach

A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach

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