@article{38386,
  keywords = {example, systems, dynamics, coarse-graining, equation-free, multiscale, simulations, time-steppers, computer-aided analysis, bifurcation, coarse   control, distributed parameter systems, gaptooth scheme, optimal control, surface-roughness, thin-film growth},
  author = {Armaou and Kevrekidis and Theodoropoulos},
  title = {Equation-free gaptooth-based controller design for distributed complex/multiscale processes},
  abstract = { <p>We present and illustrate a systematic computational methodology for the design of linear coarse-grained controllers for a class of spatially distributed processes. The approach targets systems described by micro- or mesoscopic evolution rules, for which coarse-grained, macroscopic evolution equations are not explicitly available. In particular, we exploit the smoothness in space of the process "coarse" variables ("observables") to estimate the unknown macroscopic system dynamics. This is accomplished through appropriately initialized and connected ensembles of micro/mesoscopic simulations realizing a relatively small portion of the macroscopic spatial domain (the so-called gaptooth scheme). Our illustrative example consists of designing discrete-time, coarse linear controllers for a Lattice-Boltzmann model of a reaction-diffusion process (a kinetic-theory based realization of the FitzHugh-Nagumo equation in one spatial dimension). (c) 2004 Elsevier Ltd. All rights reserved.</p> },
  year = {2005},
  journal = {Computers \& Chemical Engineering},
  volume = {29},
  pages = {731-740},
  month = {03/2005},
  isbn = {0098-1354},
  language = {English},
}