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Solving time-delay optimal control problems via artificial neural networks | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 28 خرداد 1404 اصل مقاله (361.9 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34350.5129 | ||
| نویسنده | ||
| Tahereh Jabbari Khanbehbin* | ||
| Department of Mathematics and Statistics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| تاریخ دریافت: 15 دی 1402، تاریخ پذیرش: 26 خرداد 1403 | ||
| چکیده | ||
| This article presents a new approach for solving the Optimal Controls of linear time delay systems with a quadratic cost functional. In this study, the Artificial Neural Networks are employed for convert delay optimal control problem to a unconstrained optimization problem. Then by using an optimization algorithm, the optimal control law is obtained. Finally, Illustrative examples are included to demonstrate the validity and applicability of the technique. | ||
| کلیدواژهها | ||
| Time-delay optimal control problems؛ Artificial neural networks؛ Unconstrained optimization problem | ||
| مراجع | ||
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[1] G. Bhagya Raj and K.K. Kshirod K Dash, Comprehensive study on applications of artificial neural network in food process modeling, Critic. Rev. Food Sci. Nutr. 62 (2022), no. 10, 2756–2783. [2] S. Effati, M. Mansoori, and M. Eshaghnezhad, A neural network approach for solving a class of fractional optimal control problems, Neural Process. Lett. 45 (2017), no. 1, 59–74. [3] S. Effati and M. Pakdaman, Optimal control problem via neural networks, Neural Comput. Appl. 23 (2013), no. 7-8, 2093–2100. [4] G. Gybenko, Approximation by superposition of sigmoidal functions, Math. Control Signals Syst. 2 (1989), no. 4, 303–314. [5] G. Kharatishvili The maximum principle in the theory of optimal processes involving delay, Dokl. Akad. Nauk. 136 (1961), 39–42. [6] I. Lagaris, A. Likas, and D. Fotiadis, Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Networks 9 (1998), no. 5, 987–1000. [7] T. Mueller Optimal control of linear systems with time lag, Third Ann. Allerton Conf. Circ. Syst. Theory, Univ. Illinois, Urbana, Vol. 111, 1965, pp. 339–345. [8] M.N. Oguztoreli, A time optimal control problem for systems described by differential difference equations, SIAM J. Appl. Math. Ser. A: Control. 1 (1963), no. 3, 290–310. [9] J. Sabouri, S. Effati, and M. Pakdaman, Ordinary and Delay Differential Equations, Volume 20, Springer Science & Business Media, 2012. | ||
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