Optimal Control Problems in Complex Systems: The Combination of Mathematical Modeling and Optimization Strategies

Authors

  • Yuan Yang

DOI:

https://doi.org/10.54097/mcpdn172

Keywords:

Complex System, Optimal Control, Mathematical Modeling, Optimization Strategy

Abstract

Optimal control in complex systems is a challenging and practical field. Traditional control methods can not meet the needs of complex systems, so mathematical modeling and optimization strategies are needed to improve system performance and stability. The optimal control theory can solve the control problem in complex system effectively and improve the operation efficiency of the system by establishing mathematical model and combining optimization strategy. From mathematical modeling method to hybrid optimization strategy research, this paper discusses the theory and practice of optimal control in depth. In the future, it is necessary to further improve the research methods to solve the uncertainty of complex system models and make greater contributions to realizing more intelligent control schemes.

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References

Neittaanmäki, Pekka, Sergey Repin, and Tero Tuovinen, eds. Mathematical modeling and optimization of complex structures. Vol. 40. New York: Springer, 2016. DOI: https://doi.org/10.1007/978-3-319-23564-6

Santos, C. A., J. A. Spim, and A. Garcia. "Mathematical modeling and optimization strategies (genetic algorithm and knowledge base) applied to the continuous casting of steel." Engineering applications of artificial intelligence 16.5-6 (2003): 511-527. DOI: https://doi.org/10.1016/S0952-1976(03)00072-1

Shaimardanovich, Durmanov Akmal, and Umarov Sukhrob Rustamovich. "Economic-mathematical modeling of optimization production of agricultural production." Asia Pacific Journal of Research in Business Management 9.6 (2018): 10-21.

Clough, David E., and W. Fred Ramirez. "Mathematical modeling and optimization of the dehydrogenation of ethylbenzene to form styrene." AIChE Journal 22.6 (1976): 1097-1105. DOI: https://doi.org/10.1002/aic.690220621

Zhang Shanmei, Wang Zhishang. A kind of optimization problem and its solving algorithm in university library [J]. Journal of Qufu Normal University (Natural Science Edition),2022,48(04):22-2.

Mia, Mozammel. "Mathematical modeling and optimization of MQL assisted end milling characteristics based on RSM and Taguchi method." Measurement 121 (2018): 249-260. DOI: https://doi.org/10.1016/j.measurement.2018.02.017

Riaz, Samia, Qasim Ali Chaudhry, and Sidra Siddiqui. "Mathematical modeling and optimization of complex structures: a review." (2016): 1-3. DOI: https://doi.org/10.1186/s40294-016-0031-x

Ouyang, Tiancheng, et al. "Mathematical modeling and optimization of cam mechanism in delivery system of an offset press." Mechanism and Machine Theory 110 (2017): 100-114. DOI: https://doi.org/10.1016/j.mechmachtheory.2017.01.004

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Published

20 August 2024

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Section

Articles

How to Cite

Yang, Y. (2024). Optimal Control Problems in Complex Systems: The Combination of Mathematical Modeling and Optimization Strategies. International Journal of Education and Humanities, 15(3), 316-320. https://doi.org/10.54097/mcpdn172