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@ARTICLE{Assassa:826302,
      author       = {Assassa, Fady and Marquardt, Wolfgang},
      title        = {{O}ptimality-based grid adaptation for input-affine optimal
                      control problems},
      journal      = {Computers $\&$ chemical engineering},
      volume       = {92},
      issn         = {0098-1354},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2017-00535},
      pages        = {189 - 203},
      year         = {2016},
      abstract     = {This paper studies the solution accuracy of direct
                      single-shooting in comparision to the solution of the
                      continuous optimal control problem (OCP). First, a
                      convergence relation between the solution of the nonlinear
                      program and that of continuous OCP is analyzed by means of
                      an exemplary problem. This example reveals that Pontryagin's
                      Minimum Principle cannot be used as a stopping criterion for
                      optimality-based control grid adaptation. Consequently, a
                      novel grid refinement strategy is introduced, which is
                      rather based on the switching function and thus limited to
                      the class of input-affine OCPs. Grid points are eliminated
                      and inserted such that the approximation of the optimality
                      condition of the OCP, elucidated by the switching function,
                      is improved. The suggested methodology is illustrated and
                      compared to a previously published wavelet-based adaptation
                      approach by means of two reactor optimization problems with
                      different solution characteristics.},
      cin          = {VS-V / GRS Jülich ; German Research School for Simulation
                      Sciences},
      ddc          = {660},
      cid          = {I:(DE-Juel1)VS-V-20090406 / I:(DE-Juel1)GRS-20100316},
      pnm          = {899 - ohne Topic (POF3-899)},
      pid          = {G:(DE-HGF)POF3-899},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000380513500015},
      doi          = {10.1016/j.compchemeng.2016.04.041},
      url          = {https://juser.fz-juelich.de/record/826302},
}