Optimal control of algae growth by controlling CO 2 and nutrition flow using Pontryagin Maximum Principle

Ahmad Jamil; Lukman Hanafi; Suharmadi Sanjaya

doi:10.1088/1742-6596/890/1/012042

Optimal control of algae growth by controlling CO ₂ and nutrition flow using Pontryagin Maximum Principle

Mardlijah, Ahmad Jamil, Lukman Hanafi, Suharmadi Sanjaya

Laboratory of Mathematical Modeling and System Simulation

Institut Teknologi Sepuluh Nopember

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

There are so many benefit of algae. One of them is using for renewable energy and sustainable in the future. The greater growth of algae will increasing biodiesel production and the increase of algae growth is influenced by glucose, nutrients and photosynthesis process. In this paper, the optimal control problem of the growth of algae is discussed. The objective function is to maximize the concentration of dry algae while the control is the flow of carbon dioxide and the nutrition. The solution is obtained by applying the Pontryagin Maximum Principle. and the result show that the concentration of algae increased more than 15 %.

Original language	English
Article number	012042
Journal	Journal of Physics: Conference Series
Volume	890
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/890/1/012042
Publication status	Published - 21 Sept 2017
Event	1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017 - Kuantan, Pahang, Malaysia Duration: 8 Aug 2017 → 10 Aug 2017

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10.1088/1742-6596/890/1/012042

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title = "Optimal control of algae growth by controlling CO 2 and nutrition flow using Pontryagin Maximum Principle",

abstract = "There are so many benefit of algae. One of them is using for renewable energy and sustainable in the future. The greater growth of algae will increasing biodiesel production and the increase of algae growth is influenced by glucose, nutrients and photosynthesis process. In this paper, the optimal control problem of the growth of algae is discussed. The objective function is to maximize the concentration of dry algae while the control is the flow of carbon dioxide and the nutrition. The solution is obtained by applying the Pontryagin Maximum Principle. and the result show that the concentration of algae increased more than 15 %.",

author = "Mardlijah and Ahmad Jamil and Lukman Hanafi and Suharmadi Sanjaya",

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AU - Mardlijah,

AU - Jamil, Ahmad

AU - Hanafi, Lukman

AU - Sanjaya, Suharmadi

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2017/9/21

Y1 - 2017/9/21

N2 - There are so many benefit of algae. One of them is using for renewable energy and sustainable in the future. The greater growth of algae will increasing biodiesel production and the increase of algae growth is influenced by glucose, nutrients and photosynthesis process. In this paper, the optimal control problem of the growth of algae is discussed. The objective function is to maximize the concentration of dry algae while the control is the flow of carbon dioxide and the nutrition. The solution is obtained by applying the Pontryagin Maximum Principle. and the result show that the concentration of algae increased more than 15 %.

AB - There are so many benefit of algae. One of them is using for renewable energy and sustainable in the future. The greater growth of algae will increasing biodiesel production and the increase of algae growth is influenced by glucose, nutrients and photosynthesis process. In this paper, the optimal control problem of the growth of algae is discussed. The objective function is to maximize the concentration of dry algae while the control is the flow of carbon dioxide and the nutrition. The solution is obtained by applying the Pontryagin Maximum Principle. and the result show that the concentration of algae increased more than 15 %.

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U2 - 10.1088/1742-6596/890/1/012042

DO - 10.1088/1742-6596/890/1/012042

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SN - 1742-6588

VL - 890

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012042

T2 - 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017

Y2 - 8 August 2017 through 10 August 2017

ER -

Optimal control of algae growth by controlling CO ₂ and nutrition flow using Pontryagin Maximum Principle

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