TY  - JOUR
AU  - Assassa, Fady
AU  - Marquardt, Wolfgang
TI  - Exploitation of the control switching structure in multi-stage optimal control problems by adaptive shooting methods
JO  - Computers & chemical engineering
VL  - 73
SN  - 0098-1354
CY  - Amsterdam [u.a.]
PB  - Elsevier Science
M1  - FZJ-2017-00545
SP  - 82 - 101
PY  - 2015
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000349755100009
DO  - DOI:10.1016/j.compchemeng.2014.11.009
UR  - https://juser.fz-juelich.de/record/826312
ER  -