An expanded optimal control policy for a coupled tanks system with random disturbance
In this paper, an expanded optimal control policy is proposed to study the coupled tanks system, where the random disturbance is added into the system. Since the dynamics of the coupled tanks system can be formulated as a nonlinear system, determination of the optimal water level in the tanks is use...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Scientific Research Publishing
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/80594/1/TANK.pdf |
| _version_ | 1825951319877222400 |
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| author | Chen, Chuei Yee Sie, Long Kek Sy, Yi Sim |
| author_facet | Chen, Chuei Yee Sie, Long Kek Sy, Yi Sim |
| author_sort | Chen, Chuei Yee |
| collection | UPM |
| description | In this paper, an expanded optimal control policy is proposed to study the coupled tanks system, where the random disturbance is added into the system. Since the dynamics of the coupled tanks system can be formulated as a nonlinear system, determination of the optimal water level in the tanks is useful for the operation decision. On this point of view, the coupled tanks system dynamics is usually linearized to give the steady state operating height. In our approach, a model-based optimal control problem, which is adding with adjusted parameters, is considered to obtain the true operating height of the real coupled tanks system. During the computation procedure, the differences between the real plant and the model used are measured repeatedly, where the optimal solution of the model used is updated. On this basis, system optimization and parameter estimation are integrated. At the end of the iteration, the iterative solution approximates to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. In conclusion, the efficiency of the approach proposed is shown. |
| first_indexed | 2024-03-06T10:28:13Z |
| format | Article |
| id | upm.eprints-80594 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:28:13Z |
| publishDate | 2019 |
| publisher | Scientific Research Publishing |
| record_format | dspace |
| spelling | upm.eprints-805942020-11-05T18:44:31Z http://psasir.upm.edu.my/id/eprint/80594/ An expanded optimal control policy for a coupled tanks system with random disturbance Chen, Chuei Yee Sie, Long Kek Sy, Yi Sim In this paper, an expanded optimal control policy is proposed to study the coupled tanks system, where the random disturbance is added into the system. Since the dynamics of the coupled tanks system can be formulated as a nonlinear system, determination of the optimal water level in the tanks is useful for the operation decision. On this point of view, the coupled tanks system dynamics is usually linearized to give the steady state operating height. In our approach, a model-based optimal control problem, which is adding with adjusted parameters, is considered to obtain the true operating height of the real coupled tanks system. During the computation procedure, the differences between the real plant and the model used are measured repeatedly, where the optimal solution of the model used is updated. On this basis, system optimization and parameter estimation are integrated. At the end of the iteration, the iterative solution approximates to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. In conclusion, the efficiency of the approach proposed is shown. Scientific Research Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80594/1/TANK.pdf Chen, Chuei Yee and Sie, Long Kek and Sy, Yi Sim (2019) An expanded optimal control policy for a coupled tanks system with random disturbance. Advances in Pure Mathematics, 9 (4). pp. 317-329. ISSN 2160-0368; ESSN: 2160-0384 https://www.scirp.org/journal/paperinformation.aspx?paperid=91715 10.4236/apm.2019.94014 |
| spellingShingle | Chen, Chuei Yee Sie, Long Kek Sy, Yi Sim An expanded optimal control policy for a coupled tanks system with random disturbance |
| title | An expanded optimal control policy for a coupled tanks system with random disturbance |
| title_full | An expanded optimal control policy for a coupled tanks system with random disturbance |
| title_fullStr | An expanded optimal control policy for a coupled tanks system with random disturbance |
| title_full_unstemmed | An expanded optimal control policy for a coupled tanks system with random disturbance |
| title_short | An expanded optimal control policy for a coupled tanks system with random disturbance |
| title_sort | expanded optimal control policy for a coupled tanks system with random disturbance |
| url | http://psasir.upm.edu.my/id/eprint/80594/1/TANK.pdf |
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