ORIGINAL RESEARCH
On Prediction of Air Pollution Using Piecewise Affine Models
,
 
 
 
More details
Hide details
1
College of Computer Science and Technology & College of Data Science, Taiyuan University of Technology, Shanxi, China
 
 
Submission date: 2024-01-22
 
 
Final revision date: 2024-02-12
 
 
Acceptance date: 2024-03-05
 
 
Online publication date: 2024-06-14
 
 
Publication date: 2025-01-02
 
 
Corresponding author
Zhenxing Ren   

College of Computer Science and Technology & College of Data Science, Taiyuan University of Technology, Shanxi, China
 
 
Pol. J. Environ. Stud. 2025;34(1):93-100
 
KEYWORDS
TOPICS
ABSTRACT
Since air pollution affects both public health and economic growth, the issue has received more attention recently. Model-based early warning systems or pollution management tactics can be used to assist in combating dangerous air pollutants if accurate prediction models are available. This paper presents an approach to forecasting air contaminants using a piecewise affine model, which has a high prediction power. To identify the piecewise affine model, this study adopts effective clustering to identify the model. The proposed hierarchical clustering method improves the widely used BIRCH (Balanced Iterative Reducing and Clustering using Hierarchies) by adding a refining step to handle clusters with arbitrary geometries. Additionally, an optimization strategy like GA (Genetic Algorithm) is used to jointly estimate the model order and parameters. Measurements of Shenyang’s air quality are used to illustrate the proposed approach, and the outcomes reflect the method’s good prediction ability.
CONFLICT OF INTEREST
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
REFERENCES (29)
1.
HOEK G., KRISHNAN R.M., BEELEN R.M.J., PETERS A., OSTRO B., BRUNEKREEF B., KAUFMAN J.D. Long-term air pollution exposure and cardio- respiratory mortality: a review. Environmental Health. 12, 43, 2013. https://doi.org/10.1186/1476-0... PMid:23714370 PMCid:PMC3679821.
 
2.
THURSTON G.D., AHN J., CROMAR K.R., SHAO Y., REYNOLDS H.R., JERRETT M., LIM C.C., SHANLEY R.P., PARK Y., HAYES R. B. Ambient Particulate Matter Air Pollution Exposure and Mortality in the NIH-AARP Diet and Health Cohort. Environmental Health Perspectives. 124, (4), 484, 2015. https://doi.org/10.1289/ehp.15... PMid:26370657 PMCid:PMC4829984.
 
3.
YANG H., ZHU Z., LI C., LI R. A novel combined forecasting system for air pollutants concentration based on fuzzy theory and optimization of aggregation weight. Applied Soft Computing. 87, 105972, 2020. https://doi.org/10.1016/j.asoc....
 
4.
THONGTHAMMACHART T., ARAKI S., SHIMADERA H., ETO S., MATSUO T., KONDO A. An integrated model combining random forests and WRF/CMAQ model for high accuracy spatiotemporal PM2.5 predictions in the Kansai region of Japan. Atmospheric Environment. 262, 118620, 2021. https://doi.org/10.1016/j.atmo....
 
5.
LAGO KITAGAWA Y.K., PEDRUZZI R., GALVÃO E.S., BAPTISTA DE ARAÚJO I., TOLEDO DE ALMEIDA ALBURQUERQUE T., KUMAR P., SPERANDIO NASCIMENTO E.G., MOREIRA D.M. Source apportionment modelling of PM2.5 using CMAQ-ISAM over a tropical coastal-urban area. Atmospheric Pollution Research. 12 (12), 101250, 2021. https://doi.org/10.1016/j.apr.....
 
6.
YANG Z., YAO Q., BUSER M.D., ALFIERI J.G., LI H., TORRENTS A., MCCONNELL L.L., DOWNEY P.M., HAPEMAN C.J. Modification and validation of the Gaussian plume model (GPM) to predict ammonia and particulate matter dispersion. Atmospheric Pollution Research. 11 (7), 1063, 2020. https://doi.org/10.1016/j.apr.....
 
7.
GARCÍA NIETO P.J., SÁNCHEZ LASHERAS F., GARCÍA-GONZALO E., DE COS JUEZ F.J. PM10 concentration forecasting in the metropolitan area of Oviedo (Northern Spain) using models based on SVM, MLP, VARMA and ARIMA: A case study. The Science of The Total Environment. 621, 753, 2018. https://doi.org/10.1016/j.scit... PMid:29202286.
 
8.
SU X., AN J., ZHANG Y., ZHU P., ZHU B. Prediction of ozone hourly concentrations by support vector machine and kernel extreme learning machine using wavelet transformation and partial least squares methods. Atmospheric Pollution Research. 11 (6), 51, 2020. https://doi.org/10.1016/j.apr.....
 
9.
LEONG W.C., KELANI R.O., AHMAD Z.A. Prediction of air pollution index (API) using support vector machine (SVM). Journal of Environmental Chemical Engineering. 8 (3), 103208, 2020. https://doi.org/10.1016/j.jece....
 
10.
LU X., SHA Y., LI Z., HUANG Y., CHEN W., CHEN D.H., SHEN J., CHEN Y., FUNG J.C.H. Development and application of a hybrid long-short term memory - three dimensional variational technique for the improvement of PM2.5 forecasting. The Science of The Total Environment. 770, 144221, 2021. https://doi.org/10.1016/j.scit... PMid:33513492.
 
11.
WU C.L., HE H.D., SONG R.F., PENG Z.R. Prediction of air pollutants on roadside of the elevated roads with combination of pollutants periodicity and deep learning method. Building and Environment. 207, 108436, 2021. https://doi.org/10.1016/j.buil....
 
12.
MA J., LI Z., CHENG J.C.P., DING Y., LIN C., XU Z. Air quality prediction at new stations using spatially transferred bi-directional long short-term memory network. The Science of The Total Environment. 705, 135771, 2020. https://doi.org/10.1016/j.scit... PMid:31972931.
 
13.
ZHANG B., ZHANG H., ZHAO G., LIAN J. Constructing a PM2.5 concentration prediction model by combining auto-encoder with Bi-LSTM neural networks. Environmental Modelling & Software. 124, 104600, 2020. https://doi.org/10.1016/j.envs....
 
14.
REN Z. An optimized excitation signal design for identification of PWA model and application to automotive throttles. Measurement and Control. 56 (3-4), 844, 2023. https://doi.org/10.1177/002029....
 
15.
REN Z., KROLL A., SOFSKY M., LAUBENSTEIN F. On Physical and Data-Driven Modeling of Systems with Friction: Methods and Application to Automotive Throttles. At-Automatisierungstechnik. 61 (3), 155, 2013.
 
16.
SUN X., WU P., CAI Y., WANG S., CHEN L. Piecewise affine modeling and hybrid optimal control of intelligent vehicle longitudinal dynamics for velocity regulation. Mechanical Systems and Signal Processing. 162, 108089, 2022. https://doi.org/10.1016/j.ymss....
 
17.
ZHANG Q., JING H., LIU Z., JIANG Y., GU M. A Novel PWA Lateral Dynamics Modeling Method and Switched T-S Observer Design for Vehicle Sideslip Angle Estimation. IEEE Transactions on Industrial Electronics. 69 (2), 1847, 2022. https://doi.org/10.1109/TIE.20....
 
18.
MOUSTAKIS N., ZHOU B., LE QUANG T., BALDI S. Fault detection and identification for a class of continuous piecewise affine systems with unknown subsystems and partitions. International Journal of Adaptive Control and Signal Processing. 32 (7), 980, 2018. https://doi.org/10.1002/acs.28....
 
19.
SINDAREH‐ESFAHANI P., PIEPER J. Machine learning–based piecewise affine model of wind turbines during maximum power point tracking. Wind Energy. 23 (2), 404, 2020. https://doi.org/10.1002/we.244....
 
20.
WANG J., SONG C., ZHAO J., XU Z. A PWA model identification method for nonlinear systems using hierarchical clustering based on the gap metric. Computers & Chemical Engineering. 138, 106838, 2020. https://doi.org/10.1016/j.comp....
 
21.
XIN J., NEGENBORN R.R., LIN X. Piecewise affine approximations for quality modeling and control of perishable foods. Optimal Control Applications and Methods. 39 (2), 860, 2018. https://doi.org/10.1002/oca.23....
 
22.
BEST D., BUKKEMS B.B., MOLENGRAFT V.D.R.R., HEEMELS W.P.M. H., STEINBUCH M. Robust control of piecewise linear systems: A case study in sheet flow control. Control Engineering Practice. 16, 991, 2008. https://doi.org/10.1016/j.cone....
 
23.
HADID B., DUVIELLA E., LECOEUCHE S. Data-driven modeling for river flood forecasting based on a piecewise linear ARX system identification. Journal of Process Control. 86, 44, 2020. https://doi.org/10.1016/j.jpro....
 
24.
VIDAL R., SOATTO S., CHIUSO A. Applications of hybrid system identification in computer vision. 2007 European Control Conference (ECC). 4853, 2007. https://doi.org/10.23919/ECC.2....
 
25.
VIDAL R., MA Y. A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation and Estimation. Journal of Mathematical Imaging and Vision. 25, 403, 2006. https://doi.org/10.1007/s10851....
 
26.
YANG Y., XIANG C., GAO S., LEE T.H. Data-driven identification and control of nonlinear systems using multiple NARMA-L2 models. International Journal of Robust and Nonlinear Control. 28 (12), 3806, 2018. https://doi.org/10.1002/rnc.38....
 
27.
WAN L., YANG J. Advanced Split BIRCH Algorithm in Reconfigurable Network. Journal of Networks. 8 (9), 2050, 2013. https://doi.org/10.4304/jnw.8.....
 
28.
MA Y., WANG M., WANG S., WANG Y., FENG L., WU K. Air pollutant emission characteristics and HYSPLIT model analysis during heating period in Shenyang, China. Environmental Monitoring and Assessment. 193, 9, 2020. https://doi.org/10.1007/s10661... PMid:33319343.
 
29.
GU Y., LI B., MENG Q. Hybrid Interpretable Predictive Machine Learning Model for Air Pollution Prediction. Neurocomputing. 468, 123, 2021. https://doi.org/10.1016/j.neuc....
 
eISSN:2083-5906
ISSN:1230-1485
Journals System - logo
Scroll to top