Title: Development of fuzzy-based autoregressive integrated moving average exogenous input model for filtration process

Authors: Dauda Olurotimi Araromi; Olajide Olukayode Ajala; Aminah Abolore Sulayman

Addresses: Department of Chemical Engineering, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria ' Department of Chemical Engineering, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria ' Department of Chemical Engineering, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria

Abstract: Development of black-box model for filtration process has been carried out in this work. Data needed for the model development was obtained through experimental study on filtration unit using aqueous calcium carbonate (CaCO₃) slurry. The input and output data generated from the experiment consisted of one manipulated variable (feed pressure, P_r), one disturbance variable (concentration of the solute in the feed, C_A0) and one controlled variable (suspension concentration, C_A). The data were used to develop a fuzzy-based autoregressive integrated moving average exogenous input (FARIMAX) model structure. Model order selection was carried out based on trial and error while optimal model order was determined using factorial technique. The performance of the developed model was determined using root mean square error (RMSE), coefficient of determination (R²) and model fit. The model gave optimal order [33 3 3 1], RMSE (1.855 × 10⁻⁶), R² (1.000) and fit (99.9980%). These results revealed that the model can be used to represent dynamic behaviours of the system and the model can be subsequently used for model base control design and dynamic optimisation of the

Keywords: fuzzy model; FARIMAX model; black-box model; MATLAB; modelling; ARIMAX; filtration process.

DOI: 10.1504/IJFCM.2020.106090

International Journal of Fuzzy Computation and Modelling, 2020 Vol.3 No.1, pp.1 - 15

Received: 03 Mar 2018
Accepted: 14 Jan 2019
Published online: 30 Mar 2020 *