Proceedings ArticleDOI
Equation-free, coarse-grained feedback linearization
Constantinos I. Siettos,Ioannis G. Kevrekidis,Nikolaos Kazantzis +2 more
- Vol. 4, pp 2554-2558
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TLDR
In this article, the authors explore a systematic computational approach to the feedback regulator synthesis problem based on the "equation-free" timestepper methodology, where both the closed-loop dynamics linearization and pole-placement objectives are simultaneously attained in a single design step.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.read more
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Journal ArticleDOI
Control and optimization of multiscale process systems
TL;DR: An overview of recently developed methods for control and optimization of complex process systems described by multiscale models using examples of thin film growth processes to motivate the development of these methods and illustrate their application.
References
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Journal ArticleDOI
"Coarse" stability and bifurcation analysis using time-steppers: a reaction-diffusion example.
TL;DR: An adaptation of this approach that allows for a direct, effective ("coarse") bifurcation analysis of microscopic, kinetic-based models; this is illustrated through a comparative study of the FitzHugh-Nagumo PDE and a corresponding Lattice-Boltzmann model.
Journal ArticleDOI
“Coarse” stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples
TL;DR: In this paper, a computer-assisted approach that allows the bifurcation analysis of the "coarse" dynamic behavior of microscopic simulators without requiring the explicit derivation of closed macroscopic equations for this behavior is presented.
Posted Content
Equation-Free Multiscale Computation: enabling microscopic simulators to perform system-level tasks
Ioannis G. Kevrekidis,C. William Gear,James M. Hyman,Panagiotis G. Kevrekidis,Olof Runborg,Constantinos Theodoropoulos +5 more
TL;DR: A framework for computer-aided multiscale analysis, which enables models at a "fine" (microscopic/stochastic) level of description to perform modeling tasks at a 'coarse' (macroscopic, systems) level, and can bypass the derivation of the macroscopic evolution equations when these equations conceptually exist but are not available in closed form.
Journal ArticleDOI
Coarse Stability and Bifurcation Analysis Using Stochastic Simulators: Kinetic Monte Carlo Examples
TL;DR: In this paper, a computer-assisted approach that allows the bifurcation analysis of the coarse dynamic behavior of microscopic simulators without requiring the explicit derivation of closed macroscopic equations for this behavior is presented.
Journal ArticleDOI
Microscopic/stochastic timesteppers and “coarse” control: A KMC example
TL;DR: A brief overview of the coarse timestepper, and a simple version of the framework for macroscopic controller design based on microscopic simulators, and the results of implementing a simple coarse controller for stabilizing an open-loop unstable coarse (macroscopic) equilibrium of the KMC model.