@article{MosaviShokriMansoretal., author = {Mosavi, Amir Hosein and Shokri, Manouchehr and Mansor, Zulkefli and Qasem, Sultan Noman and Band, Shahab S. and Mohammadzadeh, Ardashir}, title = {Machine Learning for Modeling the Singular Multi-Pantograph Equations}, series = {Entropy}, volume = {2020}, journal = {Entropy}, number = {volume 22, issue 9, article 1041}, publisher = {MDPI}, address = {Basel}, doi = {10.3390/e22091041}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210122-43436}, pages = {1 -- 18}, abstract = {In this study, a new approach to basis of intelligent systems and machine learning algorithms is introduced for solving singular multi-pantograph differential equations (SMDEs). For the first time, a type-2 fuzzy logic based approach is formulated to find an approximated solution. The rules of the suggested type-2 fuzzy logic system (T2-FLS) are optimized by the square root cubature Kalman filter (SCKF) such that the proposed fineness function to be minimized. Furthermore, the stability and boundedness of the estimation error is proved by novel approach on basis of Lyapunov theorem. The accuracy and robustness of the suggested algorithm is verified by several statistical examinations. It is shown that the suggested method results in an accurate solution with rapid convergence and a lower computational cost.}, subject = {Fuzzy-Regelung}, language = {en} } @article{MosaviQasemShokrietal., author = {Mosavi, Amir Hosein and Qasem, Sultan Noman and Shokri, Manouchehr and Band, Shahab S. and Mohammadzadeh, Ardashir}, title = {Fractional-Order Fuzzy Control Approach for Photovoltaic/Battery Systems under Unknown Dynamics, Variable Irradiation and Temperature}, series = {Electronics}, volume = {2020}, journal = {Electronics}, number = {Volume 9, issue 9, article 1455}, publisher = {MDPI}, address = {Basel}, doi = {10.3390/electronics9091455}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210122-43381}, pages = {1 -- 19}, abstract = {For this paper, the problem of energy/voltage management in photovoltaic (PV)/battery systems was studied, and a new fractional-order control system on basis of type-3 (T3) fuzzy logic systems (FLSs) was developed. New fractional-order learning rules are derived for tuning of T3-FLSs such that the stability is ensured. In addition, using fractional-order calculus, the robustness was studied versus dynamic uncertainties, perturbation of irradiation, and temperature and abruptly faults in output loads, and, subsequently, new compensators were proposed. In several examinations under difficult operation conditions, such as random temperature, variable irradiation, and abrupt changes in output load, the capability of the schemed controller was verified. In addition, in comparison with other methods, such as proportional-derivative-integral (PID), sliding mode controller (SMC), passivity-based control systems (PBC), and linear quadratic regulator (LQR), the superiority of the suggested method was demonstrated.}, subject = {Fuzzy-Logik}, language = {en} }