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Handling state constraints and economics in feedback control of transport-reaction processes

Liangfeng Lao, Matthew Ellis, Panagiotis D. Christofides
2015 Journal of Process Control  
Economic model predictive control (EMPC) is a predictive control scheme that combines process economics and feedback control into an integrated framework with the potential of improving the closed-loop  ...  The computational efficiency and constraint handling properties of this design are evaluated using a tubular reactor example modeled by two nonlinear parabolic PDEs.  ...  Acknowledgments Financial support from the National Science Foundation and the Department of Energy is gratefully acknowledged.  ... 
doi:10.1016/j.jprocont.2015.04.009 fatcat:f2ntojyqkjgsjcrysbman247iq

2020 Index IEEE Transactions on Automatic Control Vol. 65

2020 IEEE Transactions on Automatic Control  
., +, TAC Jan. 2020 58-71 Robust Economic Model Predictive Control of Continuous-Time Epidemic Processes.  ...  Alghunaim, S.A., +, TAC Jan. 2020 175-190 Robust Economic Model Predictive Control of Continuous-Time Epidemic Processes.  ...  Linear programming A Decentralized Event-Based Approach for Robust Model Predictive Control.  ... 
doi:10.1109/tac.2020.3046985 fatcat:hfiqhyr7sffqtewdmcwzsrugva

Data-driven model reduction-based nonlinear MPC for large-scale distributed parameter systems

Weiguo Xie, Ioannis Bonis, Constantinos Theodoropoulos
2015 Journal of Process Control  
Model Predictive Control (MPC) has been effectively applied in process industries since the 1990s.  ...  This paradigm combines elements of gain scheduling, NMPC, model reduction and ANN for effective control of nonlinear DPS.  ...  Acknowledgements The authors would like to acknowledge the financial support of the EC FP6 Project:  ... 
doi:10.1016/j.jprocont.2015.07.009 fatcat:ixwywpxy3bbybdr5xzuu6cb7ay

An efficient reduced-order modeling approach for non-linear parametrized partial differential equations

N. C. Nguyen, J. Peraire
2008 International Journal for Numerical Methods in Engineering  
The design, optimization, control, and characterization of engineering systems require repeated and real-time output prediction.  ...  Our goal is to develop an efficient reduced-order modeling approach for the rapid prediction of functional outputs associated with parametrized PDEs.  ...  Patera of MIT and Professor Yvon Maday of the University Paris VI for their many invaluable contributions to this work.  ... 
doi:10.1002/nme.2309 fatcat:oc55klbsvrbx3ihexips6h3b6q

Modeling Information Diffusion in Online Social Networks with Partial Differential Equations [article]

Haiyan Wang, Feng Wang, Kuai Xu
2013 arXiv   pre-print
In a number of recent papers, the authors propose to use partial differential equations(PDEs) to characterize temporal and spatial patterns of information diffusion over online social networks.  ...  of the PDE models and highlight the new opportunities and challenges for mathematicians as well as computer scientists and researchers in online social networks.  ...  Two of them have been published in [1] and [2] . Spatial models have been used in mathematical biology, sociology, economics, and physics to model spatial-temporal patterns.  ... 
arXiv:1310.0505v1 fatcat:3ppbt6qmizblbpwmempeb7kizy

Dynamics of CO2 adsorption on sodium oxide promoted alumina in a packed-bed reactor

Mingheng Li
2011 Chemical Engineering Science  
The model predicted breakthrough curve matches very well with experimental data obtained from a pilot-scale packed-bed reactor.  ...  A comprehensive model is developed to describe the coupled transport phenomena and is solved using orthogonal collocation on finite elements.  ...  The reduced-order system is then used for model-based control and optimization to enhance process performance.  ... 
doi:10.1016/j.ces.2011.08.013 fatcat:jzmoux6fxrf5rpea3dbbestqp4

A dynamic theory of spatial externalities [article]

Raouf Boucekkine, Giorgio Fabbri, Salvatore Federico, Fausto Gozzi
2021 arXiv   pre-print
We further provide with a full exploration of the free riding problem and the associated border effect.  ...  We characterize the shape of spatial externalities in a continuous time and space differential game with transboundary pollution.  ...  3 will also confront the predictions of our game-theoretic model to the abundant empirical literature counterpart.  ... 
arXiv:2112.10584v1 fatcat:oj5uzuvfdncjnoiwjzaarp3rbi

State estimation of lithium-ion cells using a physicochemical model based extended Kalman filter

J. Sturm, H. Ennifar, S.V. Erhard, A. Rheinfeld, S. Kosch, A. Jossen
2018 Applied Energy  
state-space representations of the generally accepted physicochemical model (PCM) of a lithium-ion cell are used to estimate local and global states during different charging scenarios.  ...  Two different recursive state-observer models using reduced p2D. • Influence of reduction schemes analyzed for estimation process. • Adjusted finite volume method for improved robustness. • Modified EKF  ...  The Polynomial and the Eigenfunction approximation are used for the two models implemented in MATLAB (i.e. PPand EM-PCM) beside the benchmark model, which uses the DSI approach.  ... 
doi:10.1016/j.apenergy.2018.04.011 fatcat:tuf7zke6dfehncvciqcbsznxs4

Fourier's Method of Linear Programming and Its Dual

H. P. Williams
1986 The American mathematical monthly  
systems 93A15 Large scale systems 93A30 Mathematical modeling (models of systems, model-matching, etc.) 93A99 None of the above, but in this section 93Bxx Controllability, observability, and system  ...  91B52 Special types of equilibria 91B54 Special types of economies 91B55 Economic dynamics 91B60 Trade models 91B62 Growth models 91B64 Macro-economic models (monetary models, models of taxation  ...  motions 83C45 Quantization of the gravitational field 83C47 Methods of quantum field theory [See also 81T20] 83C50 Electromagnetic fields 83C55 Macroscopic interaction of the gravitational field with  ... 
doi:10.2307/2322281 fatcat:yvhgyh2epbcwdoqdhuaopkcrue

Control of moving boundary parabolic partial differential equations (PDEs)

Mojtaba Izadi
The second approach is the use of Karhunen-Loève (KL) decomposition to find the empirical eigenfunctions of the solution of moving boundary PDE systems.  ...  model of the parabolic PDE system with time-varying domain.  ...  Another promising area is the development of advanced control strategies such as Model Predictive Control (MPC) for parabolic PDEs with time-varying domain.  ... 
doi:10.7939/r3p39h fatcat:bqfhwyrnrveypmftkrmet4c2t4

Table of contents

2009 2009 17th Mediterranean Conference on Control and Automation  
Two model-based predictive control strategies have been studied: the generalized predictive controller (GPC) and nonlinear adaptive model predictive controller (NAMPC).  ...  The controller is implemented using HP-VEE software and Matlab packages. 11:20-11:40 WeA2.6 Adaptive Predictive Control Using Recurrent Neural Network Identification, pp. 61-66 Akpan, Vincent Aristotle  ...  The dominant eigenspace of this ensemble is then identified to compute the empirical eigenfunctions required for model reduction.  ... 
doi:10.1109/med.2009.5164498 fatcat:bi37lbkbhfaihj7lbc64vvplo4

Analytical approximation to the multidimensional Fokker–Planck equation with steady state

R J Martin, R V Craster, A Pannier, M J Kearney
2019 Journal of Physics A: Mathematical and Theoretical  
Using asymptotic techniques, that draw upon the known Ornstein--Uhlenbeck (OU) case, we consider a mean-reverting system and obtain its representation as a product of terms, representing short-term, long-term  ...  The Fokker--Planck equation is a key ingredient of many models in physics, and related subjects, and arises in a diverse array of settings.  ...  Examples include: subatomic particle tracks [9] ; movements in the ionosphere [43] ; chemical reactions [41] ; and extensive use in econometrics for making predictions about financial variables in systems  ... 
doi:10.1088/1751-8121/aafea3 fatcat:vnfgarkaj5gdrow3fju6u7wah4

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
2003 Communications in Mathematical Sciences  
An arsenal of analytical and numerical techniques for the efficient solution of such evolution equations (usually Partial Differential Equations, PDEs) is then brought to bear on the problem.  ...  , systems) level.  ...  The role of AFOSR (Dynamics and Control, Drs. Jacobs and King), to whom this work was proposed in 1999, and which they supported through the years, has been crucial.  ... 
doi:10.4310/cms.2003.v1.n4.a5 fatcat:uqxdd6kghje4lnvou7jxfes77m

Turnpike in optimal control of PDEs, ResNets, and beyond [article]

Borjan Geshkovski, Enrique Zuazua
2022 arXiv   pre-print
We review a slice of the theory developed over the past decade –the controllability of the underlying system is an important ingredient, and can even be used to devise simple turnpike-like strategies which  ...  When formalized mathematically, the turnpike theory corroborates the insights from economics: for an optimal control problem set in a finite-time horizon, optimal controls and corresponding states, are  ...  A major part of this work was completed while B.G. was affiliated with the Chair of Computational Mathematics, Fundación Deusto.  ... 
arXiv:2202.04097v1 fatcat:55e5pbg7ubhqzmuqudjg7kchay

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Peter Benner, Serkan Gugercin, Karen Willcox
2015 SIAM Review  
The goal of parametric model reduction is to generate low cost but accurate models that characterize system response for different values of the parameters.  ...  Parametric model reduction targets the broad class of problems for which the equations governing the system behavior depend on a set of parameters.  ...  of particular parameterized parabolic PDEs [112, 111] ) or a residualbased error indicator [61] .  ... 
doi:10.1137/130932715 fatcat:lfylrclfjvcxfo7wvxwx6lylb4
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