The CRONE (R) Toolbox, developed by the CRONE research group, is a Matlab and Simulink Toolbox dedicated to fractional calculus. The original theoretical and mathematical concepts, developed in the group, are used in the toolbox. During the last ten years, the CRONE Toolbox has been used by industrial partners in many applications. The last two decades have witnessed a growing interest in fractional derivatives and their applications. The aim of the CRONE group is to share its developments and its knowledge with scientists, researchers, and engineers world wide. For any specific developments, the CRONE group welcomes all collaborations. The CRONE group members are also ready to visit you for giving tutorial lectures with practice.

References in zbMATH (referenced in 168 articles )

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  1. Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Orchard, Marcos E.: Fractional order controllers for throughput and product quality control in a grinding mill circuit (2020)
  2. Bel Haj Frej, Ghazi; Malti, Rachid; Aoun, Mohamed; Raïssi, Tarek: Fractional interval observers and initialization of fractional systems (2020)
  3. Gallegos, Javier A.; Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel: Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays (2020)
  4. Lino, Paolo; Maione, Guido: Non-integer order control of PMSM drives with two nested feedback loops (2020)
  5. Zhang, Lichuan; Liu, Lu; Zhang, Shuo: Design, implementation, and validation of robust fractional-order PD controller for wheeled mobile robot trajectory tracking (2020)
  6. Aguila-Camacho, N.; Gallegos, J.; Duarte-Mermoud, M. A.: Analysis of fractional order error models in adaptive systems: mixed order cases (2019)
  7. Jafari, Adeleh Arabzadeh; Mohammadi, Seyed Mohammad Ali; Naseriyeh, Mohsen Hasanpour: Adaptive type-2 fuzzy backstepping control of uncertain fractional-order nonlinear systems with unknown dead-zone (2019)
  8. Lanusse, Patrick; Tari, Massinissa: Simplified fractional-order design of a MIMO robust controller (2019)
  9. Liang, Shu; Liang, Yinshan: Inverse Lyapunov theorem for linear time invariant fractional order systems (2019)
  10. Li, He; Yang, Guang-Hong: Dynamic output feedback (H_\infty) control for fractional-order linear uncertain systems with actuator faults (2019)
  11. Abrashov, Sergey; Malti, Rachid; Moreau, Xavier; Moze, Mathieu; Aioun, François; Guillemard, Franck: Optimal input design for continuous-time system identification (2018)
  12. Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Travieso-Torres, Juan C.: Fractional-order model reference adaptive controllers for first-order integer plants (2018)
  13. Liu, Lu; Zhang, Shuo: Robust fractional-order PID controller tuning based on Bode’s optimal loop shaping (2018)
  14. Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan: A new collection of real world applications of fractional calculus in science and engineering (2018)
  15. Tenreiro Machado, Jose; Galhano, Alexandra M.: A fractional calculus perspective of distributed propeller design (2018)
  16. Baranowski, Jerzy: Quadrature based approximations of non-integer order integrator on finite integration interval (2017)
  17. Benzaouia, Abdellah; El Hajjaji, Ahmed: Stabilization of continuous-time fractional positive T-S fuzzy systems by using a Lyapunov function (2017)
  18. Beschi, M.; Padula, F.; Visioli, A.: The generalised isodamping approach for robust fractional PID controllers design (2017)
  19. Bettayeb, Maamar; Mansouri, Rachid; Al-Saggaf, Ubaid; Mehedi, Ibrahim Mustafa: Smith predictor based fractional-order-filter PID controllers design for long time delay systems (2017)
  20. Charef, Abdelfatah; Charef, Mohamed; Djouambi, Abdelbaki; Voda, Alina: New perspectives of analog and digital simulations of fractional order systems (2017)

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