Optimal control of a waste water cleaning plant
In this work, a model of a waste water treatment plant is investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of the polluted water at the terminal time T is stated and solved an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2010-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/19/g4/abstr.html |
| _version_ | 1811252609817772032 |
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| author | Ellina V. Grigorieva Evgenii N. Khailov |
| author_facet | Ellina V. Grigorieva Evgenii N. Khailov |
| author_sort | Ellina V. Grigorieva |
| collection | DOAJ |
| description | In this work, a model of a waste water treatment plant is investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of the polluted water at the terminal time T is stated and solved analytically with the use of the Pontryagin Maximum Principle. Dependence of the optimal solution on the initial conditions is established. Computer simulations of a model of an industrial waste water treatment plant show the advantage of using our optimal strategy. Possible applications are discussed. |
| first_indexed | 2024-04-12T16:38:08Z |
| format | Article |
| id | doaj.art-0e717358e05c41ceba07a4efdd71574d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T16:38:08Z |
| publishDate | 2010-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0e717358e05c41ceba07a4efdd71574d2022-12-22T03:24:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-09-01201019161175Optimal control of a waste water cleaning plantEllina V. GrigorievaEvgenii N. KhailovIn this work, a model of a waste water treatment plant is investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of the polluted water at the terminal time T is stated and solved analytically with the use of the Pontryagin Maximum Principle. Dependence of the optimal solution on the initial conditions is established. Computer simulations of a model of an industrial waste water treatment plant show the advantage of using our optimal strategy. Possible applications are discussed.http://ejde.math.txstate.edu/conf-proc/19/g4/abstr.htmlOptimal control problemnonlinear modelwaste water cleaning process |
| spellingShingle | Ellina V. Grigorieva Evgenii N. Khailov Optimal control of a waste water cleaning plant Electronic Journal of Differential Equations Optimal control problem nonlinear model waste water cleaning process |
| title | Optimal control of a waste water cleaning plant |
| title_full | Optimal control of a waste water cleaning plant |
| title_fullStr | Optimal control of a waste water cleaning plant |
| title_full_unstemmed | Optimal control of a waste water cleaning plant |
| title_short | Optimal control of a waste water cleaning plant |
| title_sort | optimal control of a waste water cleaning plant |
| topic | Optimal control problem nonlinear model waste water cleaning process |
| url | http://ejde.math.txstate.edu/conf-proc/19/g4/abstr.html |
| work_keys_str_mv | AT ellinavgrigorieva optimalcontrolofawastewatercleaningplant AT evgeniinkhailov optimalcontrolofawastewatercleaningplant |