| 动态过程优化算法的计算量比较 |
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| 引用本文： | 洪伟荣,潭鹏程,王树青,Pu Li.动态过程优化算法的计算量比较[J].中国化学工程学报,2010,18(1):80-85. |
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| 作者姓名： | 洪伟荣 潭鹏程 王树青 Pu Li |
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| 作者单位： | |
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| 基金项目： | 国家自然科学基金，the National Creative Research Groups Sci-ence Foundation of China |
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| 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.
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| 关 键 词： | face=Verdana>dynamic optimization arithmetic operation comparison quasi-sequential approach simultaneous approach |
| 收稿时间： | 2009-2-20 |
| 修稿时间： | 2009-2-20
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A comparison of arithmetic operations for dynamic process optimization approach |
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| HONG Weirong,TAN Pengcheng,WANG Shuqing,Pu Li.A comparison of arithmetic operations for dynamic process optimization approach[J].Chinese Journal of Chemical Engineering,2010,18(1):80-85. |
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| Authors: | HONG Weirong TAN Pengcheng WANG Shuqing Pu Li |
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| Affiliation: | Institute of Process Equipment, Zhejiang University, Hangzhou 310027, China Institute of Cyber-System and Control, State Key Lab of Control Technology, Zhejiang University, Hangzhou 310027, China Institute of Automation and Systems Engineering, Ilmenau University of Technology, Ilmenau 98684, Germany |
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| 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 re-spect to equality constrained optimization problems is presented.Through the detail comparison of arithmetic op-erations, 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 ap-proach 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. |
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| Keywords: | dynamic optimization arithmetic operation comparison quasi-sequential approach simultaneous approach |
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