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An Adaptive Pseudospectral Method for Constrained Dynamic Optimization Problems in Chemical Engineering
Author(s) -
Xiao Long,
Liu Xinggao,
He Shiming
Publication year - 2016
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.201600281
Subject(s) - pseudospectral optimal control , collocation (remote sensing) , gauss pseudospectral method , pseudo spectral method , mathematical optimization , computer science , collocation method , optimization problem , control (management) , constrained optimization problem , mathematics , differential equation , fourier analysis , fourier transform , ordinary differential equation , machine learning , artificial intelligence , mathematical analysis
An adaptive pseudospectral method with two novel strategies is proposed to solve constrained dynamic optimization problems in chemical engineering. The first strategy is to introduce slope information in designing appropriate subintervals, so that the approach becomes more efficient to track the optimal control profiles. The second strategy is to redistribute the collocation points based on the approximation error, thus ensuring the accuracy of the method. Two constrained dynamic optimization problems with multiple control variables are tested as illustrations, and the proposed approach is compared with other methods. The research results reveal the effectiveness of the proposed method in improving the solution accuracy of dynamic optimization problems.