Author :
Siettos, Constantinos I. ; Kevrekidis, Ioannis G. ; Kazantzis, Nikolaos
Author_Institution :
Dept. of Chem. Eng., Princeton Univ., NJ, USA
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;