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@ARTICLE{Assassa:826313,
      author       = {Assassa, Fady and Marquardt, Wolfgang},
      title        = {{D}ynamic optimization using adaptive direct multiple
                      shooting},
      journal      = {Computers $\&$ chemical engineering},
      volume       = {60},
      issn         = {0098-1354},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2017-00546},
      pages        = {242 - 259},
      year         = {2014},
      abstract     = {We present a wavelet-based grid refinement approach for
                      direct multiple shooting applied to dynamic optimization
                      problems. The algorithm, named adaptive multiple shooting,
                      automatically generates a problem-dependent parameterization
                      of the control profiles: Starting from an initially coarse
                      parameterization, the control grid is refined iteratively
                      using a wavelet analysis of the previously obtained optimal
                      solution. Additional grid points are only inserted where
                      required and redundant grid points are eliminated. Hence,
                      the algorithm minimizes the number of grid points required
                      to obtain accurate optimal control trajectories.First, we
                      demonstrate the superiority of adaptive grid refinement over
                      an equidistant discretization for the Williams–Otto
                      semi-batch reactor employing multiple and single shooting.
                      Here, the accuracy is checked using an optimal solution
                      obtained by an indirect optimization approach. Second, we
                      successfully demonstrate the efficiency of adaptive grid
                      refinement compared to an equidistant discretization
                      employing multiple shooting to a dynamically unstable HIPS
                      (high impact polystyrene) polymerization reactor.},
      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:000327885100018},
      doi          = {10.1016/j.compchemeng.2013.09.017},
      url          = {https://juser.fz-juelich.de/record/826313},
}