• DocumentCode
    3550926
  • Title

    Equation-free, coarse-grained feedback linearization

  • Author

    Siettos, Constantinos I. ; Kevrekidis, Ioannis G. ; Kazantzis, Nikolaos

  • Author_Institution
    Dept. of Chem. Eng., Princeton Univ., NJ, USA
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    2554
  • Abstract
    We explore a systematic computational approach to the feedback regulator synthesis problem based on the "equation-free" timestepper methodology [Theodoropoulos, K, et al., 2000], [Makeev, A, et al., 2002], [Kevrekidis, A. G., et al., 2003], [Siettos, C, et al., 2003], where both the closed-loop dynamics linearization and pole-placement objectives are simultaneously attained in a single design step [Kazantzis, N, 2001]. This is of particular interest in the case of systems/processes modeled via microscopic/stochastic simulations (e.g. kinetic Monte Carlo) for which coarse-grained, macroscopic models at the level we wish to control the behavior are not available in closed form.
  • Keywords
    Monte Carlo methods; closed loop systems; control system synthesis; feedback; linearisation techniques; nonlinear control systems; pole assignment; closed-loop dynamics linearization; coarse-grained feedback linearization; equation-free timestepper methodology; feedback regulator synthesis; kinetic Monte Carlo; macroscopic models; nonlinear control; pole-placement objectives; Chemical engineering; Computational modeling; Feedback; Kinetic theory; Mathematics; Microscopy; Monte Carlo methods; Nonlinear equations; Physics; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2005. Proceedings of the 2005
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-9098-9
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2005.1470351
  • Filename
    1470351