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...

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Main Authors: Kek, Sie Long, Sim, Sy Yi, Chen, Chuei Yee
Format: Article
Language:English
Published: Scientific Research Publishing 2019
Subjects:
Online Access:http://eprints.uthm.edu.my/4446/1/AJ%202019%20%28275%29.pdf
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author Kek, Sie Long
Sim, Sy Yi
Chen, Chuei Yee
author_facet Kek, Sie Long
Sim, Sy Yi
Chen, Chuei Yee
author_sort Kek, Sie Long
collection UTHM
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.
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spelling uthm.eprints-44462021-12-06T08:18:22Z http://eprints.uthm.edu.my/4446/ An expanded optimal control policy for a coupled tanks system with random disturbance Kek, Sie Long Sim, Sy Yi Chen, Chuei Yee TJ212-225 Control engineering systems. Automatic machinery (General) 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://eprints.uthm.edu.my/4446/1/AJ%202019%20%28275%29.pdf Kek, Sie Long and Sim, Sy Yi and Chen, Chuei Yee (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 https://doi.org/10.4236/apm.2019.94014
spellingShingle TJ212-225 Control engineering systems. Automatic machinery (General)
Kek, Sie Long
Sim, Sy Yi
Chen, Chuei Yee
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
topic TJ212-225 Control engineering systems. Automatic machinery (General)
url http://eprints.uthm.edu.my/4446/1/AJ%202019%20%28275%29.pdf
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