Nonlinear Model Predictive Control of Water Quality in Drinking Water Distribution Systems with DBPs Objectives
The paper develops a Non-Linear Model Predictive
Control (NMPC) of water quality in Drinking Water Distribution
Systems (DWDS) based on the advanced non-linear quality dynamics
model including disinfections by-products (DBPs). A special attention
is paid to the analysis of an impact of the flow trajectories prescribed
by an upper control level of the recently developed two-time scale
architecture of an integrated quality and quantity control in DWDS.
The new quality controller is to operate within this architecture in the
fast time scale as the lower level quality controller. The controller
performance is validated by a comprehensive simulation study based
on an example case study DWDS.
[1] P. H. Gleick, "Water and conflict: Fresh water resources and international
security," International security, pp. 79-112, 1993
[2] N. W. Arnell, "Climate change and global water resources," Global
environmental change, vol. 9, pp. S31-S49, 1999
[3] M. Brdys and B. Ulanicki, Operational control of water systems:
structures, algorithms, and applications: Prentice Hall, 1994.
[4] M. Brdys, T. Zubowicz, and K. Arminski, "Robust parameter estimation
and output prediction for reactive carrier-load nonlinear dynamic
networks," in 13th IFAC Symposium on Large scale complex systems
theory and applications, Shanghai, China, 2013, pp. 426-431. [5] P. Boulos, K. Lansey, and B. Karney, "Comprehensive water distribution
systems analysis handbook for engineers and planners. MWH Soft," Inc.
Pasadena, CA, 2004
[6] S. E. Hrudey, "Chlorination disinfection by-products, public health risk
tradeoffs and me," Water Research, vol. 43, pp. 2057-2092, 2009
[7] L. A. Rossman, P. F. Boulos, and T. Altman, "Discrete volume-element
method for network water-quality models," Journal of Water Resources
Planning and Management, vol. 119, pp. 505-517, 1993
[8] T. D. Prasad, G. Walters, and D. Savic, "Booster disinfection of water
supply networks: Multiobjective approach," Journal of Water Resources
Planning and Management, vol. 130, pp. 367-376, 2004
[9] G. Ewald, W. Kurek, and M. A. Brdys, "Grid implementation of a parallel
multiobjective genetic algorithm for optimized allocation of chlorination
stations in drinking water distribution systems: Chojnice case study,"
Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE
Transactions on, vol. 38, pp. 497-509, 2008
[10] M. Drewa, M. Brdys, and A. Ciminski, "Model predictive control of
integrated quantity and quality in drinking water distribution systems," in
Procs. 8th International IFAC Symposium on Dynamics and Control of
Process Systems, Cancun, Mexico, 2007.
[11] M. A. Brdys, T. Chang, K. Duzinkiewicz, and W. Chotkowski,
"Hierarchical control of integrated quality and quantity in water
distribution systems," in Procs. ASCE 2000 Joint Conference on Water
Resources Engineering and Water Resources Planning and Management,
Minneapoils, Minnesota, United States, 2000.
[12] M. Brdys, X. Huang, and Y. Lei, "Two Time-Scale Hierarchical Control
of Integrated Quantity and Quality in Drinking Water Distribution
Systems," in 13th IFAC Symposium on Large scale complex systems
theory and applications, Shanghai, China, 2013, pp. 117-122.
[13] K. Arminski, T. Zubowicz, and M. A. Brdys, "A biochemical
multi-species quality model of a drinking water distribution system for
simulation and design," International Journal of Applied Mathematics
and Computer Science, vol. 23, pp. 571-585, 2013
[14] K. Arminski and M. Brdys, "Robust monitoring of water quality in
drinking water distribution system," in 13th IFAC Symposium on Large
scale complex systems theory and applications, Shanghai, China, 2013,
pp. 105-110.
[15] R. Łangowski and M. Brdys, "Monitoring of chlorine concentration in
drinking water distribution systems using an interval estimator,"
International Journal of Applied Mathematics and Computer Science,
vol. 17, pp. 199-216, 2007
[16] R. Langowski, M. Brdys, and R. Qi, "Optimised robust placement of hard
quality sensors for robust monitoring of quality in Drinking Water
Distribution Systems," in Intelligent Control and Automation (WCICA),
2012 10th World Congress on, Beijing, 2012, pp. 1109-1114.
[17] M. Brdys and T. Chang, "Robust model predictive control under output
constraints," in Procs. 15th IFAC World Congress, Barcelona, Spain,
2002.
[18] T. Chang, "Robust Model Predictive Control of Water Quality in
Drinking Water Distribution Systems.," Ph.D. Thesis, University of
Birmingham, 2003
[19] H. Gallard and U. von Gunten, "Chlorination of natural organic matter:
kinetics of chlorination and of THM formation," Water Research, vol. 36,
pp. 65-74, 2002
[20] A. S. Al-Omari and M. H. Chaudhry, "Unsteady-state inverse chlorine
modeling in pipe networks," Journal of Hydraulic Engineering, vol. 127,
pp. 669-677, 2001
[21] G. Ewald, T. Zubowicz, and M. Brdys, "Optimised Allocation of
Actuators for DWDS," Journal of Process Control, 2015,unpublished.
[22] M. Brdys and V. N. Tran, "Softly switched robustly feasible model
predictive control for nonlinear network systems," in 13th IFAC
Symposium on Large scale complex systems theory and applications,
Shang hai, China, 2013, pp. 200-205.
[23] F. Shang, J. G. Uber, and L. Rossman, "EPANET multi-species extension
user’s manual," Risk Reduction Engineering Laboratory, US
Environmental Protection Agency, Cincinnati, Ohio, 2008
[1] P. H. Gleick, "Water and conflict: Fresh water resources and international
security," International security, pp. 79-112, 1993
[2] N. W. Arnell, "Climate change and global water resources," Global
environmental change, vol. 9, pp. S31-S49, 1999
[3] M. Brdys and B. Ulanicki, Operational control of water systems:
structures, algorithms, and applications: Prentice Hall, 1994.
[4] M. Brdys, T. Zubowicz, and K. Arminski, "Robust parameter estimation
and output prediction for reactive carrier-load nonlinear dynamic
networks," in 13th IFAC Symposium on Large scale complex systems
theory and applications, Shanghai, China, 2013, pp. 426-431. [5] P. Boulos, K. Lansey, and B. Karney, "Comprehensive water distribution
systems analysis handbook for engineers and planners. MWH Soft," Inc.
Pasadena, CA, 2004
[6] S. E. Hrudey, "Chlorination disinfection by-products, public health risk
tradeoffs and me," Water Research, vol. 43, pp. 2057-2092, 2009
[7] L. A. Rossman, P. F. Boulos, and T. Altman, "Discrete volume-element
method for network water-quality models," Journal of Water Resources
Planning and Management, vol. 119, pp. 505-517, 1993
[8] T. D. Prasad, G. Walters, and D. Savic, "Booster disinfection of water
supply networks: Multiobjective approach," Journal of Water Resources
Planning and Management, vol. 130, pp. 367-376, 2004
[9] G. Ewald, W. Kurek, and M. A. Brdys, "Grid implementation of a parallel
multiobjective genetic algorithm for optimized allocation of chlorination
stations in drinking water distribution systems: Chojnice case study,"
Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE
Transactions on, vol. 38, pp. 497-509, 2008
[10] M. Drewa, M. Brdys, and A. Ciminski, "Model predictive control of
integrated quantity and quality in drinking water distribution systems," in
Procs. 8th International IFAC Symposium on Dynamics and Control of
Process Systems, Cancun, Mexico, 2007.
[11] M. A. Brdys, T. Chang, K. Duzinkiewicz, and W. Chotkowski,
"Hierarchical control of integrated quality and quantity in water
distribution systems," in Procs. ASCE 2000 Joint Conference on Water
Resources Engineering and Water Resources Planning and Management,
Minneapoils, Minnesota, United States, 2000.
[12] M. Brdys, X. Huang, and Y. Lei, "Two Time-Scale Hierarchical Control
of Integrated Quantity and Quality in Drinking Water Distribution
Systems," in 13th IFAC Symposium on Large scale complex systems
theory and applications, Shanghai, China, 2013, pp. 117-122.
[13] K. Arminski, T. Zubowicz, and M. A. Brdys, "A biochemical
multi-species quality model of a drinking water distribution system for
simulation and design," International Journal of Applied Mathematics
and Computer Science, vol. 23, pp. 571-585, 2013
[14] K. Arminski and M. Brdys, "Robust monitoring of water quality in
drinking water distribution system," in 13th IFAC Symposium on Large
scale complex systems theory and applications, Shanghai, China, 2013,
pp. 105-110.
[15] R. Łangowski and M. Brdys, "Monitoring of chlorine concentration in
drinking water distribution systems using an interval estimator,"
International Journal of Applied Mathematics and Computer Science,
vol. 17, pp. 199-216, 2007
[16] R. Langowski, M. Brdys, and R. Qi, "Optimised robust placement of hard
quality sensors for robust monitoring of quality in Drinking Water
Distribution Systems," in Intelligent Control and Automation (WCICA),
2012 10th World Congress on, Beijing, 2012, pp. 1109-1114.
[17] M. Brdys and T. Chang, "Robust model predictive control under output
constraints," in Procs. 15th IFAC World Congress, Barcelona, Spain,
2002.
[18] T. Chang, "Robust Model Predictive Control of Water Quality in
Drinking Water Distribution Systems.," Ph.D. Thesis, University of
Birmingham, 2003
[19] H. Gallard and U. von Gunten, "Chlorination of natural organic matter:
kinetics of chlorination and of THM formation," Water Research, vol. 36,
pp. 65-74, 2002
[20] A. S. Al-Omari and M. H. Chaudhry, "Unsteady-state inverse chlorine
modeling in pipe networks," Journal of Hydraulic Engineering, vol. 127,
pp. 669-677, 2001
[21] G. Ewald, T. Zubowicz, and M. Brdys, "Optimised Allocation of
Actuators for DWDS," Journal of Process Control, 2015,unpublished.
[22] M. Brdys and V. N. Tran, "Softly switched robustly feasible model
predictive control for nonlinear network systems," in 13th IFAC
Symposium on Large scale complex systems theory and applications,
Shang hai, China, 2013, pp. 200-205.
[23] F. Shang, J. G. Uber, and L. Rossman, "EPANET multi-species extension
user’s manual," Risk Reduction Engineering Laboratory, US
Environmental Protection Agency, Cincinnati, Ohio, 2008
@article{"International Journal of Engineering, Mathematical and Physical Sciences:70232", author = "Mingyu Xie and Mietek Brdys", title = "Nonlinear Model Predictive Control of Water Quality in Drinking Water Distribution Systems with DBPs Objectives", abstract = "The paper develops a Non-Linear Model Predictive
Control (NMPC) of water quality in Drinking Water Distribution
Systems (DWDS) based on the advanced non-linear quality dynamics
model including disinfections by-products (DBPs). A special attention
is paid to the analysis of an impact of the flow trajectories prescribed
by an upper control level of the recently developed two-time scale
architecture of an integrated quality and quantity control in DWDS.
The new quality controller is to operate within this architecture in the
fast time scale as the lower level quality controller. The controller
performance is validated by a comprehensive simulation study based
on an example case study DWDS.", keywords = "Model predictive control, hierarchical control
structure, genetic algorithm, water quality with DBPs objectives.", volume = "9", number = "8", pages = "446-7", }