Open Access
Issue
E3S Web Conf.
Volume 453, 2023
International Conference on Sustainable Development Goals (ICSDG 2023)
Article Number 01001
Number of page(s) 14
DOI https://doi.org/10.1051/e3sconf/202345301001
Published online 30 November 2023
  1. Miller K.S., Ross B.S. “An introduction to the fractional calculus and fractional deferential equations” John Wiley & Sons Inc., New York (1993). [Google Scholar]
  2. Podlubny I. “Fractional-order systems and fractional-order controllers” Slovak Academy of Science, Institute of Experimental Physics, UEF, Kosice 1-18 (1994). [Google Scholar]
  3. Valerio D., Costa D.S. “Tuning of fractional PID controllers with Ziegler-Nichols type rules” Signal Processing, 86, 2771-2784 (2006) : DOI:10.1016/j.sigpro.2006.02.020 [CrossRef] [Google Scholar]
  4. Monje C.A., Chen Y., Vinagre, Xue D., Feliu-Battle, Vicente, “Fractional-order systems and controls fundamentals and applications” Springer-Verlag London Limited (2010) : DOI:10.1007/978-1-84996-335-0 [CrossRef] [Google Scholar]
  5. Faieghi M.R., Nemati A. “On fractional-order PID design, in Applications of MATLAB in Science and Engineering” In Tech (2011) : DOI: 10.5772/22657 [Google Scholar]
  6. Padula F., Visioli A. “Tuning rules for optimal PID and fractional-order PID controllers” Journal of Process Control 21 (2011) : DOI:10.1016/j.jprocont.2010.10.006 [Google Scholar]
  7. Das S., Pan I. “Fractional-order signal processing: introductory concepts and applications” Springer Science & Business Media (2011).DOI:https://doi.org/10.1007/978-3-642-23117-9 [Google Scholar]
  8. Adhikary A., Shil A., & Biswas K. “Realization of Foster Structure-based Ladder Fractor with Phase Band Specification” Circuits, Systems, and Signal Processing 39(5) (2020) : https://doi.org/10.1007/s00034-019-01269-w [Google Scholar]
  9. Sharma S., Kumar A., Nujud Badawi M., Khalid Mujasam Batoo, I. A. Wonnie Ma, K. Ramesh, S. Ramesh & Mohd Asif Shah. “Fabrication and characterization of graphene oxide-based polymer nanocomposite coatings, improved stability and hydrophobicity” Nature 13 (2023) : https://doi.org/10.1038/s41598-023-35154-z [Google Scholar]
  10. Chauhan R., Majumder, Varun K. “The impact of adopting customization policy and sustainability for improving consumer service in a dual-channel retailing” Journal of Retailing and Consumer Services 75 (2023) : https://doi.org/10.1016/j.jretconser.2023.103504 [CrossRef] [Google Scholar]
  11. Arzoo T., Shivani N., Deblina B., Swarup R. “A comprehensive review on artificial intelligence assisted technologies in food industry” Food Bioscience 56 (2023) : https://doi.org/10.1016/j.fbio.2023.103231 [Google Scholar]
  12. Alagoz B.B, Tepljakov A., Ates A., Petlenkov, & Yeroglu C. “Time-domain identification of one noninteger order plus time delay models from step response measurements” International Journal of Modeling, Simulation, and Scientific Computing, 10(1) (2019) : https://doi.org/10.1142/S1793962319410113 [CrossRef] [Google Scholar]
  13. Wang J.C. “Realizations of generalized warburg impedance with RC ladder networks and transmission lines” Journal of the Electrochemical Society 134 (8) (1987) [Google Scholar]
  14. Sar E.Y., Giresunlu I.B. “Fractional differential equations” Pramana–J. Phys 87 (2016) [Google Scholar]
  15. Bingi K., Ibrahim R., Karsiti M.N., Hassan S.M., Harindran V.R. “Fractional-order Systems and PID Controllers” Springer International Publishing (2020) : DOI:https://doi.org/10.1007/978-3-030-33934-0 [CrossRef] [Google Scholar]
  16. Khalil R., Al Horani, Yousef A., Sababheh M. “A new definition of fractional derivative” Journal of Computational and Applied Mathematics 264 (2014) https://doi.org/10.1016/j.cam.2014.01.002 [Google Scholar]
  17. Xue D., Chen Y. “A comparative introduction of four fractional-order controllers” in Proceedings of the 4th World Congress on Intelligent Control and Automation 4 (2002) : DOI:10.1109/WCICA.2002.1020131 [Google Scholar]
  18. Ma C., Hori Y. “Time-domain evaluation of fractional order controllers’ direct discretization methods” IEEJ Transactions on Industry Applications 124 (8) (2004) [Google Scholar]
  19. R. G. “Fractional Calculus: Some numerical methods, courses and lectures” International Centre for Mechanical Sciences 277-290 (1997) [Google Scholar]
  20. Carlson G.E., Halijak C.A. “Simulation of the fractional derivative operator and the fractional integral operators, Doctoral Dissertation” Kansas State University (1960) [Google Scholar]
  21. Charef A., Sun H., Tsao, O. “Fractal system as represented by singularity function, ” IEEE Transactions on Automatic Control, 37(9) (1992) [Google Scholar]
  22. Vinagre B.M., Podlubny I., Dorcak L., Feliu “On fractional PID controllers: A frequency domain approach” IFAC Proceedings, 33(4) (2000) : DOI:10.1016/S1474-6670(17)38220-4 [Google Scholar]
  23. J. Vesterstrom Thomsen R. “A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems” In Proceedings of the 2004 Congress on Evolutionary Computation 2 (2004) [Google Scholar]
  24. Li H., Luo Y., Chen Y.Q. “A fractional-order proportional and derivative (FOPD) motion controller: tuning rule and experiments” Control Syst. Technol. IEEE Trans 18(2) (2010) : DOI:10.1109/TCST.2009.2019120 [Google Scholar]
  25. V. Feliu-Batlle, R. Perez, Rodriguez L.S. “Fractional robust control of main irrigation canals with variable dynamic parameters” Control Engineering Practice 15(6) (2007) : DOI.10.1016/j.conengprac.2006.11.018 [Google Scholar]
  26. Vaidyanathan. Fractional-order Systems, Academic Press 305-327 (2018) [Google Scholar]
  27. Tepljakov A., Petlenkov E., Belikov J. “Application of Newton’s method to analog and digital realization of fractional-order controllers” International Journal of Microelectronics and Computer Science 2(2) (2012) [Google Scholar]
  28. Podlubny I., Petraš I., Vinagre B.M., O’leary P., Dorcák L. “Analogue realizations of fractional-order controllers” Nonlinear Dynamics, 29(1) (2002) [Google Scholar]
  29. Chen Y., Petras I., Xue D. “Fractional-order control-a tutorial” In: American Control Conference (2009) [Google Scholar]
  30. Okoro I.S. & Enwerem C.O. “Robust control of a DC motor” Heliyon 6(12) (2020) : DOI: 10.1016/j.heliyon.2020.e05777 [PubMed] [Google Scholar]
  31. Krishna B.T. “Studies on fractional-order differentiators and integrators: a survey” Signal Process, 91(3) (2011) : DOI:10.1016/j.sigpro.2010.06.022 [Google Scholar]
  32. Subhash N. W., Sagar D. S., Nischal P. M., Krunal P. M. “Automated Belt Conveyor System for Bolt and Washer Assembly” Optimization of Industrial Systems 23 (2022) : https://doi.org/10.1002/9781119755074.ch23 [Google Scholar]
  33. Birs I.R., Muresan C.I., Nascu I., & Ionescu C.M. “A survey of recent advances in fractional-order control for time delay systems” IEEE Access 7(1) (2019): 10.1109/ACCESS.2019.2902567 [Google Scholar]
  34. Adil H.M., Ahmed S., & Ahmad I. “Control of magLev system using supertwisting and integral backstepping sliding mode algorithm” IEEE Access 8 (2020) : DOI: 10.1109/ACCESS.2020.2980687 [Google Scholar]
  35. Truong T.N., Vo A.T., & Kang H.J. “A backstepping global terminal sliding mode control for trajectory tracking control of industrial robotic manipulators” IEEE Access (2021) : DOI:10.1109/access.2021.3060115 [Google Scholar]
  36. Prashant D., Girish M., Jayant M., Sagar S., Pramod B. “Establishment of mathematical model for minimization of human energy in a plastic moulding operation” Materials Today: Proceedings 47 (2021) : https://doi.org/10.1016/j.matpr.2021.05.330 [Google Scholar]
  37. Maxim A., Copot D., Copot C., and C.M. Ionescu, “The 5Ws for Control as Part of Industry 4.0: Why, What, Where, Who, and When a PID and MPC Control Perspective, Inventions, 4(1), 2019 [Google Scholar]
  38. Paz R.A. “The design of the PID controller” Klipsch school of Electrical and Computer Engineering 8 (2001) [Google Scholar]
  39. Meng J., Liu A., Yang Y., Wu Z., Xu Q. “Two-wheeled robot platform based on PID control” in Proceedings 2018 5th International Conference on Information Science and Control Engineering ICISCE (2019) [Google Scholar]
  40. Astrom K.J. “PID controllers, theory, design, and tuning” The Instrumentation, Systems and Automation Society (1995) [Google Scholar]
  41. Chao H., Luo Y., Di L., Chen Y.Q. “Roll-channel fractional-order controller design for a small fixed-wing unmanned aerial vehicle” Control Engineering Practice, 18(7) (2010) https://doi.org/10.1016/j.conengprac.2010.02.003 [Google Scholar]
  42. Khanduja N., Bhushan B. “Optimal design of FOPID controller for the control of CSTR by using a novel hybrid metaheuristic algorithm Indian” Academy of Science (2021) : https://doi.org/10.1007/s12046-021-01632-1 [Google Scholar]
  43. Sengupta S., Basak S., R. Peters R. “Particle swarm optimization: a survey of historical and recent developments with hybridization perspectives”, Mach. Learn. Knowledge Extraction 1 (2019) : https://doi.org/10.48550/arXiv.1804.05319 [Google Scholar]
  44. Khanduja N. “CSTR control by using model reference adaptive control and PSO” International Journal of Mechanical and Mechatronics Engineering 8 (2015) [Google Scholar]
  45. Shah P. and Agashe S. “Review of fractional PID controller, Mechatronics” 38 (2016) : https://doi.org/10.1016/j.mechatronics.2016.06.005 [Google Scholar]
  46. Bingi K., Ibrahim R., Karsiti M.N., Hassan S.M., V.R. Hari. “Fractional-order PI controllers for real-time control of pressure plant” In 5th International Conference on Control, Decision and Information Technologies, Thessaloniki, Greece (2018) : DOI: 10.1109/CoDIT.2018.8394921 [Google Scholar]
  47. Luo Y., Chen Y. “Fractional-order [Proportional Derivative] controller for a class of fractional-order systems” Automatica 45(10) (2009) : DOI: 10.1109/ACC.2009.5160284 [Google Scholar]
  48. Tavakoli-Kakhki M., Haeri M. “Fractional-order model reduction approach based on retention of the dominant dynamics: application in IMC based tuning of FOPI and FOPID controllers” ISA Trans. 50(3) (2011) : https://doi.org/10.1016/j.isatra.2011.02.002 [Google Scholar]
  49. Feliu-Batlle, Rivas-Perez R., Castillo-Garcia F.J. “Fractional-order controller robust to time delay variations for water distribution in an irrigation main canal pool” Comput. Electron. Agric. 69(2) (2009) : https://doi.org/10.1016/j.compag.2011.01.018 [Google Scholar]
  50. El-Khazali. “Fractional-order PIλDμ controller design” Comput. Math. Appl. 66(5) (2013) [Google Scholar]
  51. Luyben L. “Process Modeling, Simulation, and Control for Chemical Engineer” New York: McGraw Hill, Inc. (1989). [Google Scholar]
  52. Donald C., Stevan L. “Process Systems Analysis and Control” New York McGraw Hill, Inc. (2009) [Google Scholar]
  53. V. Vijayan Panda R. C. “Design of a simple setpoint filter for minimizing overshoot for low order processes” ISA Transactions 51(2) (2012) [Google Scholar]
  54. Latha K., V. Rajinikanth, Surekha P.M. “PSO-based PID controller design for a class of stable and unstable systems” ISRN Artif. Intell. (2013) : https://doi.org/10.1155/2013/543607 [Google Scholar]
  55. Rajinikanth and Latha K. “Identification and Control of Unstable Biochemical Reactor” International Journal of Chemical Engineering Applications 1(1) (2010) [Google Scholar]
  56. Walia M.S., Garg R., Goyal P. “Electronic and material realizations of fractional-order elements” Materials Today: Proceedings 45(6) (2021) : https://doi.org/10.1016/j.matpr.2021.01.924 [Google Scholar]
  57. Walia M.S., Garg R., & Goyal P. “Analysis of approximation methods and fractional-order circuit” Materials Today: Proceedings 28(3) 2020 : https://doi.org/10.1016/j.matpr.2021.01.924 [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.