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.

Applying GP-EKF and GP-SCKF for non-linear state estimation and fault detection in a continuous stirred-tank reactor system

“…Therefore, the present method is unable to perform well, especially in those systems that are strictly non-linear, or in those systems that need higher terms of the Taylor series expansion for the linearization of process and measurement equations. To overcome these problems, another method known as the unscented Kalman filter (UKF) has been proposed for fault detection of the non-linear systems (Cao and Ayalew, 2015; Liu H et al, 2014; Lu et al, 2014; Masoumnezhad et al, 2015). In this method, a set of sample points known as sigma points are used for the mean and the covariance estimation.…”