%0 Journal Article
%A Assassa, Fady
%A Marquardt, Wolfgang
%T Exploitation of the control switching structure in multi-stage optimal control problems by adaptive shooting methods
%J Computers & chemical engineering
%V 73
%@ 0098-1354
%C Amsterdam [u.a.]
%I Elsevier Science
%M FZJ-2017-00545
%P 82 - 101
%D 2015
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000349755100009
%R 10.1016/j.compchemeng.2014.11.009
%U https://juser.fz-juelich.de/record/826312