Integration of Neutrosophic Methods into Adaptive Control of Nonlinear Systems Using Neuro-Fuzzy Networks With B-Spline Functions Oksana Porubay, Dilnoza Umurzakova Iium Engineering Journal, 2026 This paper addresses the problem of adaptive control of nonlinear dynamic systems operating under parametric uncertainty, external disturbances, and partial or contradictory information about the system state – conditions under which classical linear Model Reference Adaptive Control (MRAC) and conventional neuro-fuzzy controllers exhibit degraded performance, slow adaptation, and oscillatory behavior. To overcome these limitations, a novel Neuro-Neutrosophic Model Reference Adaptive Controller (NN-MRAC) is proposed, implemented using a neutrosophic neuro-fuzzy network with B-spline basis functions. The key innovation of the proposed approach lies in integrating neutrosophic logic into the adaptive control architecture by explicitly using a three-component uncertainty representation – truth, indeterminacy, and falsity – which enables robust control synthesis in the presence of incomplete, noisy, and conflicting data. In contrast to traditional neuro-fuzzy controllers, the proposed NN-MRAC combines localized B-spline approximation with neutrosophic weighting of local models and an adaptive decomposition into lower-dimensional submodels, effectively mitigating the curse of dimensionality and reducing computational complexity. Comparative simulation studies with a classical linear MRAC demonstrate that the proposed controller reduces the mean-square tracking error by approximately 59%, decreases overshoot by more than 3 times, shortens the transient response time by nearly 1.8 times, and lowers control energy consumption by about 18%. The results confirm that the proposed neuro-neutrosophic MRAC ensures stable, smooth, and energy-efficient control in the presence of noise and deep uncertainty, making it a promising solution for intelligent control of complex nonlinear systems. ABSTRAK: Kajian ini mencadangkan masalah kawalan adaptif bagi sistem dinamik bukan linear yang beroperasi pada ketidakpastian parameter, gangguan luaran, serta maklumat separa atau bercanggah mengenai keadaan sistem, di mana kaedah linear klasik Model Kawalan Suai Rujukan (MRAC) dan kawalan konvensional neural-fuzi menunjukkan prestasi terhad, kadar penyesuaian perlahan, dan tingkah laku berayun. Bagi mengatasi kekangan ini, satu Model Kawalan Suai Rujukan Neuro-Neutrosofik (NN-MRAC) yang baharu dicadangkan, dilaksanakan berasaskan rangkaian neural-fuzi neutrosofik dengan fungsi asas alur-B. Inovasi utama pendekatan ini terletak pada pengintegrasian logik neutrosofik ke dalam seni bina kawalan suai melalui penggunaan perwakilan terkecuali pada tiga komponen ketidakpastian – kebenaran, ketidakpastian, dan kepalsuan – membolehkan sintesis kawalan yang teguh dalam keadaan data tidak lengkap, bising, dan bercanggah. Berbeza dengan pengawal neural-fuzi tradisional, NN-MRAC yang dicadangkan menggabungkan penghampiran setempat berasaskan alur-B dengan pemberat neutrosofik bagi model setempat serta penguraian suai kepada submodel berdimensi rendah, sekaligus mengurangkan kerumitan pengiraan dan mengatasi masalah “kutukan dimensi”. Kajian simulasi perbandingan dengan MRAC linear klasik menunjukkan bahawa cadangan kawalan mencapai pengurangan ralat min kuasa dua (MSE) kira-kira 59%, penurunan lebihan (overshoot) lebih daripada tiga kali ganda, pemendekan masa tindak balas sementara hampir 1.8 kali, serta pengurangan penggunaan tenaga kawalan sekitar 18%. Keputusan ini mengesahkan bahawa MRAC neuro-neutrosofik yang dicadangkan mampu memastikan kawalan stabil, licin, dan cekap tenaga di bawah keadaan hingar dan ketidakpastian mendalam, menjadikannya satu penyelesaian berpotensi pada sistem kawalan pintar bukan linear yang kompleks.
Retraction: Optimization of operation modes of renewable energy facilities to provide energy for agriculture (E3S Web of Conferences (2024) 538 (01028) DOI: 10.1051/e3sconf/202453801028) Oksana Porubay, Marina Lazareva, Temurbek Abdullayev, Nurillo Mamadaliyev, Abdumalik Xoitqulov E3s Web of Conferences, 2024 This paper considers the main modes of electricity consumption in the power system, taking into account their seasonal variability. The problem is solved using the methods of linear programming, product rules "IF, ... THEN, ..." and mathematical modelling for planning the modes of operation of electric power facilities. The study establishes that power consumers in certain regions of Uzbekistan, facing a shortage of electricity, can independently put into operation additional energy sources, such as wind power plants, solar photovoltaic stations and energy storage systems. A complete analysis of steady-state operation modes of the electric power system has been carried out. An algorithm for optimising the operation of electric power facilities based on the use of renewable and alternative energy sources has been created.
Integration of Neutrosophic Methods into Adaptive Control of Nonlinear Systems Using Neuro-Fuzzy Networks With B-Spline Functions O Porubay, D Umurzakova IIUM Engineering Journal 27 (2), 506-528 , 2026 2026
Application of the smart grid concept in the tasks of controlling the operation modes of electric power systems O Porubay, I Siddikov AIP Conference Proceedings 3374 (1), 050043 , 2026 2026
Intelligent control of energy system operating modes based on neuro-analytical and neutrosophic models under conditions of uncertainty O Porubay, I Siddikov, D Umurzakova Neutrosophic Sets & Systems 97 , 2026 2026 Citations: 1
СРАВНИТЕЛЬНЫЙ АНАЛИЗ ПРОИЗВОДИТЕЛЬНОСТИ WEBSOCKET И ПРОМЫШЛЕННЫХ ПРОТОКОЛОВ СВЯЗИ В СИСТЕМАХ ЦИФРОВЫХ ДВОЙНИКОВ РЕАЛЬНОГО ВРЕМЕНИ О Порубай Потомки Аль-Фаргани, 66-73 , 2026 2026
TASHKILOT DARAJASIDA XAVFSIZLIK VA UZLUKSIZLIK MADANIYATINI SHAKLLANTIRISH N Saydirasulov, O Porubay, U Shuxratjon Global Science Review 14 (1), 261-267 , 2026 2026
MACHINE LEARNING APPROACHES TO DETECT PHISHING AND SPAM MESSAGES (A CASE STUDY OF MBERT) N Saydirasulov, O Porubay, S Umarov Global Science Review 14 (1), 226-233 , 2026 2026 Citations: 1
Fuzzy-set based Decision Model for Power System Control Under Conditions of Data Uncertainty and Cyber-Information Risk O Porubay, Z Ermatova, K Muminov, D Irmatova, N Saydirasulov, ... 2025 International Conference on Information Science and Communications … , 2025 2025
A Set-Theoretic Approach to the Formalization of the Technological Preparation of Production Processes O Porubay, I Siddikov, M Sadikova 2025 International Conference on Information Science and Communications … , 2025 2025
Algorithmic Solutions for Intelligent Power System Management based on Neuro-Analytical Models O Porubay, N Abdulhamidova, M Khasanova, A Arabboyev 2025 International Conference on Information Science and Communications … , 2025 2025
Adaptive Heuristic Methods for Intelligent Decision Support in Electric Power Systems under Uncertainty O Porubay, M Khusanova, S Ganieva 2025 International Conference on Information Science and Communications … , 2025 2025
A Hierarchical Approach to Modeling and Controlling Complex Systems O Porubay, I Siddikov, N Abdulhamidova, O Rakhmonov 2025 International Conference on Information Science and Communications … , 2025 2025
Adaptive Nonlinear Control of Electric Power Facilities Using a Synergetic Approach O Porubay, I Siddikov, G Alimova, D Umurzakova, T Abdullaev Journal of Robotics and Control (JRC) 6 (5), 2380-2388 , 2025 2025 Citations: 9
Synthesis of nonlinear multilinked control systems of thermal power plants O Porubay, I Siddikov International Journal of Electrical and Computer Engineering (IJECE) 15 (5 … , 2025 2025
Impact of Steady-State Error Minimization on the Performance of Numerical Optimization Techniques in Linear Automatic Control Systems DM Umurzakova, IX Siddikov, OV Porubay, TM Abdullayev Journal of Robotics and Control (JRC) 6 (6), 3028-3036 , 2025 2025
ZAMONAVIY ELEKTR ENERGETIKA TIZIMLARINING ISHLASHINI BOSHQARISH VA OPTIMALLASHTIRISH MODELLARI OV Porubay, MM Turdimatov НАУЧНО-ТЕХНИЧЕСКИЙ ЖУРНАЛ ФерПИ 29 (2), 200-212 , 2025 2025
ELEKTR ENERGETIKA OBYEKTLARIDA BOSHQARUV QARORLARINI QABUL QILISHNI INTELLEKTUALLASHTIRISH OV Porubay, MM Turdimatov Научный вестник Бухарского государственного университета, 193-198 , 2025 2025
Эволюционный подход к созданию нейро-нечеткого регулятора с использованием генетического алгоритма ОВ Порубай Приборы, 24-30 , 2025 2025
МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ДИНАМИКИ ЭНЕРГЕТИЧЕСКОЙ СИСТЕМЫ С ПРИМЕНЕНИЕМ НЕЧЕТКИХ МЕТОДОВ: НОВЫЙ ПОДХОД К УПРАВЛЕНИЮ В УСЛОВИЯХ НЕОПРЕДЕЛЕННОСТИ ОВ Порубай International Journal of Formal Education 3 (12), 316-323 , 2024 2024
Algorithms for optimization of operation modes of electric power systems under conditions of information uncertainty O Porubay, I Siddikov 2024 International Conference on Information Science and Communications … , 2024 2024 Citations: 21
Оптимизация режимов работы объектов возобновляемой энергетики для обеспечения энергией сельского хозяйства ОВ Порубай, МВ Лазарева Потомки Аль-Фаргани, 13-23 , 2024 2024
MOST CITED SCHOLAR PUBLICATIONS
Decision-making under conditions of definition and risk based on strict methods OV Porubay Chemical Technology, Control and Management 11, 20-2020 , 2020 2020 Citations: 34
Synthesis of the neuro-fuzzy regulator with genetic algorithm. I Siddikov, O Porubay, T Rakhimov International Journal of Electrical & Computer Engineering (2088-8708) 14 (1) , 2024 2024 Citations: 30
Multiscale analysis of wavelet-transformation, as a solution to the problem of compression of information flows O Porubay 2016 International Conference on Information Science and Communications … , 2016 2016 Citations: 30
Neural network model of decision making in electric power facilities under conditions of uncertainty I Siddikov, O Porubay E3S Web of Conferences 304, 01001 , 2021 2021 Citations: 28
An algorithm for optimizing short-term modes of electric power systems, taking into account the conditions of the nature of the probability of the information flow of data I Siddikov, O Porubay, O Mirjalilov Journal of Physics: Conference Series 2373 (8), 082014 , 2022 2022 Citations: 27
Neuro-fuzzy system for regulating the processes of power flows in electric power facilities IK Siddikov, OV Porubay AIP Conference Proceedings 2432 (1), 020010 , 2022 2022 Citations: 26
Algorithm for optimizing the mode of electric power systems by active power O Porubay, I Siddikov, K Madina 2022 International Conference on Information Science and Communications … , 2022 2022 Citations: 25
Проблемы принятия управленческих решений на основе строгих методов ОВ Порубай Актуальные вопросы техники, науки, технологии, 423-427 , 2021 2021 Citations: 25
RETRACTED: Optimization of operation modes of renewable energy facilities to provide energy for agriculture O Porubay, M Lazareva, T Abdullayev, N Mamadaliyev, A Xoitqulov E3S Web of Conferences 538, 01028 , 2024 2024 Citations: 23
Algorithms for optimization of operation modes of electric power systems under conditions of information uncertainty O Porubay, I Siddikov 2024 International Conference on Information Science and Communications … , 2024 2024 Citations: 21
Synthesis of a control system for a two-mass electromechanical object O Porubay, I Siddikov, G Nashvandova, G Alimova AIP Conference Proceedings 3045 (1), 030080 , 2024 2024 Citations: 20
Альтернативные технологии, меняющие будущее возобновляемой энергетики ОВ Порубай Journal of new century innovations 11 (1), 160-168 , 2022 2022 Citations: 20
Trends in the development of intelligent systems when making management decisions in Uzbekistan SI Kh, OV Porubay, MV Lazareva, AA Abdulkhamidov International scientific journal" Universum: technical sciences 2 (71), 10-14 , 2020 2020 Citations: 12
Тенденции развития интеллектуальных систем при принятии управленческих решений в Узбекистане ИХ Сиддиков, ОВ Порубай, МВ Лазарева, ААУ Абдулхамидов Universum: технические науки, 10-13 , 2020 2020 Citations: 10
Adaptive Nonlinear Control of Electric Power Facilities Using a Synergetic Approach O Porubay, I Siddikov, G Alimova, D Umurzakova, T Abdullaev Journal of Robotics and Control (JRC) 6 (5), 2380-2388 , 2025 2025 Citations: 9
Принятие решений в условиях определенности и риска на основе строгих методов ИХ Сиддиков, ОВ Порубай Современные тенденции развития фундаментальных и прикладных наук, 208-214 , 2021 2021 Citations: 7
Formation of new technologies for innovation management in the modern competitive environment O Porubay, M Khasanova Engineering problems and innovations , 2023 2023 Citations: 5
СИСТЕМЫ ПОДДЕРЖКИ ПРИНЯТИЯ РЕШЕНИЙ С ИНТЕЛЛЕКТУАЛЬНЫМИ МЕХАНИЗМАМИ ПОИСКА ДЛЯ ОПЕРАТИВНОДИСПЕТЧЕРСКОГО УПРАВЛЕНИЯ В ЭЛЕКТРОЭНЕРГЕТИКЕ ОВ Порубай Издательство Самарского научного центра РАН , 2021 2021 Citations: 5
Проблемы принятия решений в условиях определенности и риска на основе строгих методов ОВ Порубай, АР Амиров Universum: технические науки, 32-33 , 2021 2021 Citations: 4
Нейросетевая модель принятия решений в электроэнергетических объектах в условиях неопределенности ИХ Сиддиков, ОВ Порубай STJ FerPI, ФарПИ ИТЖ, НТЖ ФерПИ 27, 98-105 , 2023 2023 Citations: 3