Title
Estimation and predictive control of nonlinear diffusion processes with application to drying of coatings.
Abstract
This article deals with the estimation and control of a class of distributed parameter processes dominated by nonlinear diffusion. The major challenges in control of such systems lie in the nonlinear infinite-dimensional nature of the systems and the lack of direct sensing for relevant system states. In the proposed scheme, the proper orthogonal decomposition-Galerkin method is adopted to derive a reduced-order model in terms of temporal coefficients from the original system described by nonlinear partial differential equation(s). To overcome the sensing problem, the unscented Kalman filter is implemented to estimate the temporal coefficients of the reduced-order model online and subsequently reconstruct the distributed system states. A set of improved sufficient conditions are also established to ensure stability of the estimation scheme. Then, once these difficulties are addressed, a nonlinear model predictive control scheme is formulated to achieve desired control objectives such as trajectory tracking for distributed states, energy optimization and quality control. The proposed estimation and control scheme is demonstrated via an application to infrared drying of coatings in the automotive industry.
Year
DOI
Venue
2015
10.1177/0959651814559759
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
Keywords
Field
DocType
Nonlinear diffusion process,proper orthogonal decomposition,proper orthogonal decomposition-Galerkin method,unscented Kalman filter,model predictive control,drying process
Extended Kalman filter,Nonlinear system,Control theory,Nonlinear partial differential equation,Model predictive control,Nonlinear diffusion,Kalman filter,Nonlinear model,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
229.0
3
0959-6518
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Xiaoqing Cao1393.35
Beshah Ayalew25612.79