DFOC swMATH ID: 20917 Software Authors: Petráš, I. Description: Matlab function DFOC. Discrete fractional-order PID controller. Provides a transfer function of the fractional-order PID controller for given parameters. Homepage: http://www.mathworks.com/matlabcentral/fileexchange/33761-discrete-fractional-order-pid-controller Dependencies: Matlab Related Software: sysdfod; Matlab; CRONE; ma2dfc; Ninteger; Sprott's Software; ML; FracPECE; mlf; Mathematica; RODAS; Mittag-Leffler; FOMCON; FOC; Fractional Order Chaotic Systems; FSST; FOPID; ora_foc; fderiv; FIT Cited in: 200 Publications all top 5 Cited by 400 Authors 10 Machado, José António Tenreiro 9 Băleanu, Dumitru I. 7 Lopes, António M. 7 Parovik, Roman Ivanovich 6 Alidousti, Javad 6 Gómez-Aguilar, José Francisco 6 Jafari, Mohsen A. 6 Kheiri, Hossein 6 Li, Tianzeng 5 Shen, Yongjun 5 Wang, Yu 5 Yang, Shaopu 4 Coronel-Escamilla, Antonio 4 Escobar-Jiménez, Ricardo Fabricio 4 Fernandez, Arran 4 Ozturk, Ilhan 4 Wang, Dongling 3 Abdullah, Farah Aini 3 Balcı, Ercan 3 Cao, Jinde 3 Datsko, Bohdan 3 Kartal, Senol 3 Lu, Dianchen 3 Moustafa, Mahmoud 3 Pham, Viet-Thanh 3 Sharma, Bharat Bhushan 3 Shukla, Manoj Kumar 3 Xiao, Aiguo 3 Xing, Haijun 2 Abd-El-Hafiz, Salwa K. 2 Alvarado-Martínez, V. M. 2 Arabzadeh Jafari, Adeleh 2 Arshad, Muhammad 2 Asante-Asamani, E. O. 2 Busłowicz, Mikołaj 2 Butcher, Eric A. 2 Dabiri, Arman 2 Das, Saptarshi 2 Das, Shantanu 2 El-Sayed, Ahmed Mohamed Ahmed 2 Fernández-Anaya, Guillermo 2 Gafiychuk, Vasyl V. 2 Ghaziani, Reza Khoshsiar 2 Gong, Ping 2 Guerrero-Ramírez, G. V. 2 Hasanpour Naseriyeh, Mohsen 2 Huang, Chengdai 2 Ismail, Ahmad Izani Md. 2 Iyiola, Olaniyi Samuel 2 Lan, Weiyao 2 Lipko, O. D. 2 Liu, Fawang 2 López-López, M. G. 2 Maji, Chandan 2 Maslovskaya, Anna G. 2 Mohammadi, Seyed Mohammad Ali 2 Mohd, Mohd Hafiz 2 Moroz, L. I. 2 Munoz-Pacheco, Jesus Manuel 2 Novikova, E. R. 2 Olivares-Peregrino, Victor Hugo 2 Palanivel, J. 2 Pan, Indranil 2 Pawłuszewicz, Ewa 2 Peng, Yuexi 2 Radwan, Ahmed G. 2 Sayed, Wafaa S. 2 Sun, Kehui 2 Thamilmaran, Kathamuthu 2 Tvyordyj, D. A. 2 Wade, Bruce A. 2 Wen, Shao-Fang 2 Yang, Yong 2 Zambrano-Serrano, Ernesto 1 Abdolmohammadi, Hamid Reza 1 Abro, Kashif Ali 1 Abundez-Pliego, Arturo 1 Adak, Sayani 1 Aghajani, Asadollah 1 Agrawal, Saurabh K. 1 Ahmed, Elsayed 1 Ahmed, Eshag Mohamed 1 Ai, Wei 1 Akgul, Akif 1 Akuamoah, Saviour Worlanyo 1 Al-Bakri, Amir 1 Al-khedhairi, Abdulrahman 1 Al-Saggaf, Ubaid Muhsen 1 Ali, Farhad 1 Ali, Mukarram 1 Almatroud, A. Othman 1 Alsaadi, Fawaz E. 1 Alsaadi, Fuad Eid S. 1 Al-saedi, Ahmed Eid Salem 1 Aminikhah, Hossein 1 Anbalagan, Pratap 1 Ansari, Alireza 1 Antoniadis, Anestis 1 Apeanti, Wilson Osafo 1 Asad, Jihad H. ...and 300 more Authors all top 5 Cited in 64 Serials 25 Chaos, Solitons and Fractals 14 Nonlinear Dynamics 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Difference Equations 9 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 7 Applied Mathematical Modelling 7 Fractional Calculus & Applied Analysis 5 Physica A 5 Journal of Computational and Applied Mathematics 5 Advances in Mathematical Physics 5 International Journal of Applied and Computational Mathematics 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Applied Mathematics and Computation 4 Discrete Dynamics in Nature and Society 4 Journal of Applied Mathematics and Computing 4 International Journal of Biomathematics 3 Mathematics and Computers in Simulation 3 Circuits, Systems, and Signal Processing 3 Journal of Mathematical Sciences (New York) 3 Abstract and Applied Analysis 3 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Vibration and Control 2 Chaos 2 Matematicheskoe Modelirovanie 2 Journal of Nonlinear Science and Applications 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Asian Journal of Control 2 Computational Methods for Differential Equations 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Automatica 1 Calcolo 1 Journal of Differential Equations 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Archives of Control Sciences 1 Journal of the Egyptian Mathematical Society 1 Complexity 1 Mathematical Problems in Engineering 1 Mathematical Communications 1 Multibody System Dynamics 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 International Journal of Applied Mathematics and Computer Science 1 Iranian Journal of Fuzzy Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Journal of Control Science and Engineering 1 Arabian Journal for Science and Engineering 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Mathematical Research with Applications 1 Journal of Mathematics 1 Nonautonomous Dynamical Systems 1 Open Mathematics 1 AIMS Mathematics 1 Springer Monographs in Mathematics 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 30 Fields 126 Ordinary differential equations (34-XX) 63 Real functions (26-XX) 51 Systems theory; control (93-XX) 47 Biology and other natural sciences (92-XX) 36 Dynamical systems and ergodic theory (37-XX) 21 Numerical analysis (65-XX) 13 Information and communication theory, circuits (94-XX) 12 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of particles and systems (70-XX) 6 Special functions (33-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Citations by Year