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 173 articles )

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  1. Jakovljević, Boris; Lino, Paolo; Maione, Guido: Control of double-loop permanent magnet synchronous motor drives by optimized fractional and distributed-order PID controllers (2021)
  2. Lopes, António M.; Tenreiro Machado, J. A.: Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers (2021)
  3. 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)
  4. Allagui, Mohamed; Yousfi, Najah; Derbel, Nabil; Melchior, Pierre: Tuning of fractional order controller and prefilter in MIMO robust motion control: SCARA robot (2020)
  5. Bel Haj Frej, Ghazi; Malti, Rachid; Aoun, Mohamed; Raïssi, Tarek: Fractional interval observers and initialization of fractional systems (2020)
  6. Gallegos, Javier A.; Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel: Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays (2020)
  7. Lino, Paolo; Maione, Guido: Non-integer order control of PMSM drives with two nested feedback loops (2020)
  8. Tenreiro Machado, J. A.; Cao Labora, Daniel: Fractional fractals (2020)
  9. Zhang, Lichuan; Liu, Lu; Zhang, Shuo: Design, implementation, and validation of robust fractional-order PD controller for wheeled mobile robot trajectory tracking (2020)
  10. Aguila-Camacho, N.; Gallegos, J.; Duarte-Mermoud, M. A.: Analysis of fractional order error models in adaptive systems: mixed order cases (2019)
  11. 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)
  12. Lanusse, Patrick; Tari, Massinissa: Simplified fractional-order design of a MIMO robust controller (2019)
  13. Liang, Shu; Liang, Yinshan: Inverse Lyapunov theorem for linear time invariant fractional order systems (2019)
  14. Li, He; Yang, Guang-Hong: Dynamic output feedback (H_\infty) control for fractional-order linear uncertain systems with actuator faults (2019)
  15. Muñoz-Vázquez, Aldo Jonathan; Ortiz-Moctezuma, Manuel Benjamín; Sánchez-Orta, Anand; Parra-Vega, Vicente: Adaptive robust control of fractional-order systems with matched and mismatched disturbances (2019)
  16. Abrashov, Sergey; Malti, Rachid; Moreau, Xavier; Moze, Mathieu; Aioun, François; Guillemard, Franck: Optimal input design for continuous-time system identification (2018)
  17. 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)
  18. Liu, Lu; Zhang, Shuo: Robust fractional-order PID controller tuning based on Bode’s optimal loop shaping (2018)
  19. 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)
  20. Tenreiro Machado, Jose; Galhano, Alexandra M.: A fractional calculus perspective of distributed propeller design (2018)

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