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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Book
Nonlinear Control Systems
Alberto Isidori,M. Thoma,Eduardo D. Sontag,B. W. Dickinson,A. Fettweis,J. L. Massey,J. W. Modestino +6 more
TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
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Iterative Methods for Optimization
TL;DR: Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way.
Journal ArticleDOI
Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis
C. William Gear,James M. Hyman,Panagiotis G Kevrekidid,Ioannis 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 is presented.
Journal ArticleDOI
Equation-free: The computer-aided analysis of complex multiscale systems
TL;DR: Over the last few years with several collaborators, a mathematically inspired, computational enabling technology is developed and validated that allows the modeler to perform macroscopic tasks acting on the microscopic models directly, and can lead to experimental protocols for the equation-free exploration of complex system dynamics.