Ninteger: a non-integer control toolbox for Matlab. This toolbox implements non-integer controllers both in the frequency and the discrete time domains. Over thirty formulas are available for approximating a non-integer order derivative on-line. Structures such as non-integer PIDs are directly available and second and third-generation CRONE controllers may be reckoned. There are functions for finding norms, identifying models and plotting frequency diagrams. A graphical interface allows choosing parameters interactively and checking what the performance will be. The toolbox also includes a Simulink library. Its code may be freely distributed and altered provided that the source of the code is acknowledged and this warning is kept in all further copies and/or alterations.

References in zbMATH (referenced in 31 articles )

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  1. 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)
  2. 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)
  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. Aguila-Camacho, N.; Gallegos, J.; Duarte-Mermoud, M. A.: Analysis of fractional order error models in adaptive systems: mixed order cases (2019)
  5. Gurumurthy, Gandikota; Das, Dushmanta Kumar: An FO-[PI](^\lambda) controller for inverted decoupled two-input two-output coupled tank system (2019)
  6. Trejo-Zúñiga, Iván; Delfín-Prieto, Sergio M.; Martínez-Guerra, Rafael: Fractional controller based on a robust (PI^\alpha) observer for uncertain fractional systems (2019)
  7. 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)
  8. Lennart van Duist; Gijs van der Gugten; Daan Toten; Niranjan Saikumar; Hassan HosseinNia: FLOreS - Fractional order loop shaping MATLAB toolbox (2018) arXiv
  9. Navarro-Guerrero, Gerardo; Tang, Yu: Fractional-order closed-loop model reference adaptive control for anesthesia (2018)
  10. 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)
  11. Durdu, Ali; Uyaroğlu, Yılmaz: The shortest synchronization time with optimal fractional order value using a novel chaotic attractor based on secure communication (2017)
  12. 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)
  13. Mohammadzadeh, Ardashir; Ghaemi, Sehraneh: Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication (2017)
  14. Xue, Dingyü: Fractional-order control systems. Fundamentals and numerical implementations (2017)
  15. Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Delgado-Aguilera, Efredy: Adaptive synchronization of fractional Lorenz systems using a reduced number of control signals and parameters (2016)
  16. Antoniadis, Anestis; Brossat, Xavier; Goude, Yannig; Poggi, Jean-Michel; Thouvenot, Vincent: Automatic component selection in additive modeling of French national electricity load forecasting (2016)
  17. Das, Saptarshi; Pan, Indranil; Das, Shantanu: Effect of random parameter switching on commensurate fractional order chaotic systems (2016)
  18. Jauregui, Cristian; Duarte-Mermoud, Manuel A.; Orostica, Rodrigo; Travieso-Torres, Juan Carlos; Beytia, Orlando: Conical tank level control using fractional order PID controllers: a simulated and experimental study (2016)
  19. Pourgholi, Mahdi; Boroujeni, Elham Amini: An iterative LMI-based reduced-order observer design for fractional-order chaos synchronization (2016)
  20. Boroujeni, Elham Amini; Momeni, Hamid Reza: An iterative method to design optimal non-fragile (H_\infty) observer for Lipschitz nonlinear fractional-order systems (2015)

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