A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach  

作　　者：洪伟荣 谭鹏程 王树青 Pu Li 

机构地区：[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, Hangzhou310027, China [3]Institute of Automation and Systems Engineering, Ilmenau University of Technology, Ilmenau 98684, Germany

出　　处：《Chinese Journal of Chemical Engineering》2010年第1期80-85,共6页中国化学工程学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China（20676117）; the National Creative Research Groups Science Foundation of China（60421002）

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.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 

分 类 号：O232[理学—运筹学与控制论] TP301.6[理学—数学]