Model predictive control of mineral column flotation process
type: Item
instance of: scholarly article
title: Model predictive control of mineral column flotation process
zbMATH Open document ID: 1405.93170
author: Yahui Tian
author: Xiaoli Luan
author: Fei Liu
author: Stevan Dubljevic
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: Column flotation is an efficient method commonly used in the mineral industry to separate useful minerals from ores of low grade and complex mineral composition. Its main purpose is to achieve maximum recovery while ensuring desired product grade. This work addresses a model predictive control design for a mineral column flotation process modeled by a set of nonlinear coupled heterodirectional hyperbolic Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs), which accounts for the interconnection of well-stirred regions represented by Continuous Stirred Tank Reactors (CSTRs) and transport systems given by heterodirectional hyperbolic PDEs, with these two regions combined through the PDEs' boundaries. The model predictive control considers both optimality of the process operations and naturally present input and state/output constraints. For the discrete controller design, spatially varying steady-state profiles are obtained by linearizing the coupled ODE-PDE model, and then the discrete system is obtained by using the Cayley-Tustin time discretization transformation without any spatial discretization and/or without model reduction. The model predictive controller is designed by solving an optimization problem with input and state/output constraints as well as input disturbance to minimize the objective function, which leads to an online-solvable finite constrained quadratic regulator problem. Finally, the controller performance to keep the output at the steady state within the constraint range is demonstrated by simulation studies, and it is concluded that the optimal control scheme presented in this work makes this flotation process more efficient.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35L99
Mathematics Subject Classification ID: 90C20
zbMATH DE Number: 6994631
zbMATH Keywords: model predictive control
zbMATH Keywords: column flotation
zbMATH Keywords: coupled PDE-ODE
zbMATH Keywords: Cayley-Tustin discretization
zbMATH Keywords: input/state constraints
MaRDI profile type: Publication
full work available at URL: math6060100
OpenAlex ID: W2807734495
cites work: Constrained model predictive control: Stability and optimality
cites work: The Cayley Transform as a Time Discretization Scheme
cites work: Q4692382
DOI: 10.3390/MATH6060100
description: scientific article; zbMATH DE number 6994631