A flexible MATLAB tool for optimal fractional-order PID controller design subject to specifications. In this paper, we present a flexible optimization tool suitable for fractional-order PID controller design with respect to given design specifications. Fractional-order controllers are based on the rapidly evolving scientific field called fractional-order calculus. Its concepts are applicable in solving many scientific and engineering problems, including robust control system design. The fractional PID is a natural evolution of the conventional PID controller and as such new tuning strategies are now possible due to enhanced accuracy of the fractional-order models. The presented tool, which is a part of FOMCON - a MATLAB fractional-order calculus oriented toolbox, - uses numerical optimization methods to carry out the tuning and obtain a controller for a chosen plant to be controlled, which can either be a fractional-order plant or an integer-order plant.

References in zbMATH (referenced in 16 articles )

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  1. Choudhary, Niraj; Sivaramakrishnan, Janardhanan; Kar, Indra Narayan: Sliding mode control of uncertain fractional order systems with delay (2020)
  2. Ahmed, Saim; Wang, Haoping; Tian, Yang: Robust adaptive fractional-order terminal sliding mode control for lower-limb exoskeleton (2019)
  3. Dabiri, Arman; Butcher, Eric A.: Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods (2018)
  4. Lennart van Duist; Gijs van der Gugten; Daan Toten; Niranjan Saikumar; Hassan HosseinNia: FLOreS - Fractional order loop shaping MATLAB toolbox (2018) arXiv
  5. Dwivedi, Prakash; Pandey, Sandeep; Junghare, Anjali: Performance analysis and experimental validation of 2-DOF fractional-order controller for underactuated rotary inverted pendulum (2017)
  6. Dwivedi, Prakash; Pandey, Sandeep; Junghare, Anjali S.: Stabilization of unstable equilibrium point of rotary inverted pendulum using fractional controller (2017)
  7. Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü: A review and evaluation of numerical tools for fractional calculus and fractional order controls (2017)
  8. Muñiz-Montero, Carlos; Sánchez-Gaspariano, Luis A.; Sánchez-López, Carlos; González-Díaz, Víctor R.; Tlelo-Cuautle, Esteban: On the electronic realizations of fractional-order phase-lead-lag compensators with OpAmps and FPAAs (2017)
  9. Tepljakov, Aleksei: Fractional-order modeling and control of dynamic systems (2017)
  10. Antoniadis, Anestis; Brossat, Xavier; Goude, Yannig; Poggi, Jean-Michel; Thouvenot, Vincent: Automatic component selection in additive modeling of French national electricity load forecasting (2016)
  11. Das, Saptarshi; Pan, Indranil; Das, Shantanu: Effect of random parameter switching on commensurate fractional order chaotic systems (2016)
  12. Fedele, Giuseppe; Ferrise, Andrea: Periodic disturbance rejection for fractional-order dynamical systems (2015)
  13. Matušu, Radek; Prokop, Roman: Robust stability of fractional order time-delay control systems: a graphical approach (2015)
  14. Nowak, Tomasz Karol; Duzinkiewicz, Kazimierz; Piotrowski, Robert: Numerical solution of fractional neutron point kinetics model in nuclear reactor (2014)
  15. Bruzzone, Luca; Fanghella, Pietro: Fractional-order control of a micrometric linear axis (2013)
  16. Marinov, Toma; Ramirez, Nelson; Santamaria, Fidel: Fractional Integration Toolbox (2013)

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