Continuous-time control of distributed processes via microscopic simulations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

A continuous-time feedback controller design methodology is developed for distributed processes, whose dynamic behavior can be described by microscopic evolution rules. Employing the micro-Galerkin method to bridge the gap between the microscopic-level evolution rules and the "coarse" process behavior, "coarse" process steady states are estimated and nonlinear process models are identified off-line through the solution of a series of nonlinear programs. Subsequently, optimal feedback controllers are designed, on the basis of the nonlinear process model, that enforce stability in the closed-loop system. The method is used to control a system of coupled nonlinear one-dimensional PDEs (the FitzHugh-Nagumo equations), widely used to describe the formation of patterns in reacting and biological systems. Employing kinetic theory based microscopic realizations of the process, the method is used to design output feedback controllers that stabilize the FHN at an unstable, nonuniform in space, steady state.

Original languageEnglish (US)
Title of host publicationProceedings of the 2004 American Control Conference (AAC)
Pages933-939
Number of pages7
Volume1
DOIs
StatePublished - 2004
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: Jun 30 2004Jul 2 2004

Other

OtherProceedings of the 2004 American Control Conference (AAC)
CountryUnited States
CityBoston, MA
Period6/30/047/2/04

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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    Armaou, A. (2004). Continuous-time control of distributed processes via microscopic simulations. In Proceedings of the 2004 American Control Conference (AAC) (Vol. 1, pp. 933-939) https://doi.org/10.1109/ACC.2004.182369