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 184 articles )

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  1. Saxena, Sahaj; Biradar, Shivanagouda: Fractional-order IMC controller for high-order system using reduced-order modelling via Big-Bang, Big-Crunch optimisation (2022)
  2. Boubidi, Assia; Kechida, Sihem; Tebbikh, Hicham: Analytical study of resonance regions for second kind commensurate fractional systems (2021)
  3. Jakovljević, Boris; Lino, Paolo; Maione, Guido: Control of double-loop permanent magnet synchronous motor drives by optimized fractional and distributed-order PID controllers (2021)
  4. Lopes, António M.; Machado, J. A. Tenreiro: Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers (2021)
  5. Martínez-Guerra, Rafael; Meléndez-Vázquez, Fidel; Trejo-Zúñiga, Iván: Fault-tolerant control and diagnosis for integer and fractional-order systems. Fundamentals of fractional calculus and differential algebra with real-time applications (2021)
  6. Muñoz-Vázquez, Aldo Jonathan; Parra-Vega, Vicente; Sánchez-Orta, Anand; Martínez-Fuentes, Oscar: High-gain fractional disturbance observer control of uncertain dynamical systems (2021)
  7. 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)
  8. Allagui, Mohamed; Yousfi, Najah; Derbel, Nabil; Melchior, Pierre: Tuning of fractional order controller and prefilter in MIMO robust motion control: SCARA robot (2020)
  9. Balaska, Hanane; Ladaci, Samir; Djouambi, Abdelbaki; Schulte, Horst; Bourouba, Bachir: Fractional order tube model reference adaptive control for a class of fractional order linear systems (2020)
  10. Bel Haj Frej, Ghazi; Malti, Rachid; Aoun, Mohamed; Raïssi, Tarek: Fractional interval observers and initialization of fractional systems (2020)
  11. Gallegos, Javier A.; Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel: Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays (2020)
  12. Lino, Paolo; Maione, Guido: Non-integer order control of PMSM drives with two nested feedback loops (2020)
  13. Tenreiro Machado, J. A.; Cao Labora, Daniel: Fractional fractals (2020)
  14. Zhang, Lichuan; Liu, Lu; Zhang, Shuo: Design, implementation, and validation of robust fractional-order PD controller for wheeled mobile robot trajectory tracking (2020)
  15. Aguila-Camacho, N.; Gallegos, J.; Duarte-Mermoud, M. A.: Analysis of fractional order error models in adaptive systems: mixed order cases (2019)
  16. Gherfi, Kaddour; Charef, Abdelfatah; Abbassi, Hadj Ahmed: Proportional integral-fractional filter controller design for first order lag plus time delay system (2019)
  17. Gurumurthy, Gandikota; Das, Dushmanta Kumar: An FO-[PI](^\lambda) controller for inverted decoupled two-input two-output coupled tank system (2019)
  18. 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)
  19. Lanusse, Patrick; Tari, Massinissa: Simplified fractional-order design of a MIMO robust controller (2019)
  20. Liang, Shu; Liang, Yinshan: Inverse Lyapunov theorem for linear time invariant fractional order systems (2019)

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