Sliding Mode Observer Design for decentralized multi-phase flow estimation

Robust flow measurement in multi-phase systems has extensive applications in understanding, design, and operation of complex environmental, energy and industrial processes. The nonlinearity and spatiotemporal variability of the interactions between different flow phases makes the multi-phase flow me...

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Main Authors: Abolfazl Varvani Farahani, Soroush Abolfathi
Format: Article
Language:English
Published: Elsevier 2022-02-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844022000561
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author Abolfazl Varvani Farahani
Soroush Abolfathi
author_facet Abolfazl Varvani Farahani
Soroush Abolfathi
author_sort Abolfazl Varvani Farahani
collection DOAJ
description Robust flow measurement in multi-phase systems has extensive applications in understanding, design, and operation of complex environmental, energy and industrial processes. The nonlinearity and spatiotemporal variability of the interactions between different flow phases makes the multi-phase flow measurement a challenging task. Two Sliding Mode Observer (SMO) schemes are proposed in this study for the state estimation of a decentralized multi-phase flow measurement system. The developed observers are shown to be theoretically valid and numerically applicable for a real-life case study data. The multi-phase flow system considered in this paper can be described as two interconnected sub-systems including fluid and gas sub-systems, and two scenarios are considered in the design of the observers. The first scenario considers the interconnections as bounded disturbance (SMOD), while the second scenario considers the interconnections as an uncertainty (SMOU). Hence, the Sliding Mode Observers are adopted to mitigate the effects of disturbance in the system and uncertainties in the parameters. Numerical simulations are conducted using MATLAB and dynamic HYSYS simultaneously, using the data obtained from field-based multi-phase flow measurements. The results demonstrate the appropriateness and robustness of the proposed Sliding Mode Observer (SMO) for estimation of the multi-phase fluid specifications including the density, velocity, and the volume phases fraction in each subsystem. The analysis of the results highlights that the proposed model is computationally efficient with fast transient response, accurate tracking capability of the real process data, and very low steady-state error. This study shows that choosing an appropriate Lyapunov-Krasovsky function results in the asymptotic stability of the decentralized system and improves the performance of the proposed observers. Uncertainty analysis is conducted on the velocity estimation results obtained from the Sliding Observers. Overall, SMOU method shown better performance with RMSE of 0.24%, while RMSE of 0.46% was achieved for the SMOD. Comparison of the numerical results with the field-based flow measurement, as a benchmark, shows that although uncertainty in SMOU is approximately half of the uncertainty in SMOD, state estimation for both schemes was achieved in a finite time with high order of precision. It was shown that both observers developed in this study are well capable of estimating the multi-phase flow variables and states.
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spelling doaj.art-3f17220e412f4e2e8ca796bac1f7336e2022-12-21T18:41:18ZengElsevierHeliyon2405-84402022-02-0182e08768Sliding Mode Observer Design for decentralized multi-phase flow estimationAbolfazl Varvani Farahani0Soroush Abolfathi1Faculty of Engineering, Shahid Beheshti University, Tehran, Iran; Corresponding author.School of Engineering, University of Warwick, Coventry, UKRobust flow measurement in multi-phase systems has extensive applications in understanding, design, and operation of complex environmental, energy and industrial processes. The nonlinearity and spatiotemporal variability of the interactions between different flow phases makes the multi-phase flow measurement a challenging task. Two Sliding Mode Observer (SMO) schemes are proposed in this study for the state estimation of a decentralized multi-phase flow measurement system. The developed observers are shown to be theoretically valid and numerically applicable for a real-life case study data. The multi-phase flow system considered in this paper can be described as two interconnected sub-systems including fluid and gas sub-systems, and two scenarios are considered in the design of the observers. The first scenario considers the interconnections as bounded disturbance (SMOD), while the second scenario considers the interconnections as an uncertainty (SMOU). Hence, the Sliding Mode Observers are adopted to mitigate the effects of disturbance in the system and uncertainties in the parameters. Numerical simulations are conducted using MATLAB and dynamic HYSYS simultaneously, using the data obtained from field-based multi-phase flow measurements. The results demonstrate the appropriateness and robustness of the proposed Sliding Mode Observer (SMO) for estimation of the multi-phase fluid specifications including the density, velocity, and the volume phases fraction in each subsystem. The analysis of the results highlights that the proposed model is computationally efficient with fast transient response, accurate tracking capability of the real process data, and very low steady-state error. This study shows that choosing an appropriate Lyapunov-Krasovsky function results in the asymptotic stability of the decentralized system and improves the performance of the proposed observers. Uncertainty analysis is conducted on the velocity estimation results obtained from the Sliding Observers. Overall, SMOU method shown better performance with RMSE of 0.24%, while RMSE of 0.46% was achieved for the SMOD. Comparison of the numerical results with the field-based flow measurement, as a benchmark, shows that although uncertainty in SMOU is approximately half of the uncertainty in SMOD, state estimation for both schemes was achieved in a finite time with high order of precision. It was shown that both observers developed in this study are well capable of estimating the multi-phase flow variables and states.http://www.sciencedirect.com/science/article/pii/S2405844022000561Sliding Mode ObserverMulti-phase flow measurementUncertainty quantificationDisturbance
spellingShingle Abolfazl Varvani Farahani
Soroush Abolfathi
Sliding Mode Observer Design for decentralized multi-phase flow estimation
Heliyon
Sliding Mode Observer
Multi-phase flow measurement
Uncertainty quantification
Disturbance
title Sliding Mode Observer Design for decentralized multi-phase flow estimation
title_full Sliding Mode Observer Design for decentralized multi-phase flow estimation
title_fullStr Sliding Mode Observer Design for decentralized multi-phase flow estimation
title_full_unstemmed Sliding Mode Observer Design for decentralized multi-phase flow estimation
title_short Sliding Mode Observer Design for decentralized multi-phase flow estimation
title_sort sliding mode observer design for decentralized multi phase flow estimation
topic Sliding Mode Observer
Multi-phase flow measurement
Uncertainty quantification
Disturbance
url http://www.sciencedirect.com/science/article/pii/S2405844022000561
work_keys_str_mv AT abolfazlvarvanifarahani slidingmodeobserverdesignfordecentralizedmultiphaseflowestimation
AT soroushabolfathi slidingmodeobserverdesignfordecentralizedmultiphaseflowestimation