کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
172307 | 458531 | 2015 | 20 صفحه PDF | دانلود رایگان |
• Exploitation of the control switching structure for multi-stage problems.
• Exploitation of the control switching structure for multiple-shooting problems.
• Wavelet-based grid refinement of nested multi-stage/multiple-shooting problem.
• A new measure to evaluate the intermediate constraint violation.
The adaptive switching structure approach is generalized from single-stage problems and single-shooting to multi-stage problems and multiple-shooting. This generalization is based on previous work on the exploitation and detection of the control switching structure and wavelet-based control grid refinement for single-stage problems. Here, single-shooting is employed to transcribe the multi-stage optimal control problem (OCP) into a nonlinear programming problem. The proposed multi-stage formulation is also capable to represent the transcription of single-stage OCP stemming from multiple-shooting. Thus, the previously reported adaptive multiple-shooting approach is extended by an adaptation of the switching structure. Finally, a new stopping criterion is introduced that measures the intermediate constraint violation at the optimal solution.The proposed adaptive switching structure detection is illustrated for a multi-stage and a multiple-shooting problem using the Williams–Otto semi-batch reactor. A solution of user-specified accuracy in the objective and the path-constraints can be obtained using only few decision variables.
Journal: Computers & Chemical Engineering - Volume 73, 2 February 2015, Pages 82–101