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 19 articles )

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  1. Durdu, Ali; Uyaroğlu, Yılmaz: The shortest synchronization time with optimal fractional order value using a novel chaotic attractor based on secure communication (2017)
  2. 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)
  3. 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)
  4. Xue, Dingyü: Fractional-order control systems. Fundamentals and numerical implementations (2017)
  5. 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)
  6. Antoniadis, Anestis; Brossat, Xavier; Goude, Yannig; Poggi, Jean-Michel; Thouvenot, Vincent: Automatic component selection in additive modeling of French national electricity load forecasting (2016)
  7. Das, Saptarshi; Pan, Indranil; Das, Shantanu: Effect of random parameter switching on commensurate fractional order chaotic systems (2016)
  8. Pourgholi, Mahdi; Boroujeni, Elham Amini: An iterative LMI-based reduced-order observer design for fractional-order chaos synchronization (2016)
  9. Boroujeni, Elham Amini; Momeni, Hamid Reza: An iterative method to design optimal non-fragile $H_\infty$ observer for Lipschitz nonlinear fractional-order systems (2015)
  10. Majidabad, Sajjad Shoja; Shandiz, Heydar Toosian; Hajizadeh, Amin: Decentralized sliding mode control of fractional-order large-scale nonlinear systems (2014)
  11. Busłowicz, Mikołaj; Makarewicz, Adam: Synchronization of the chaotic Ikeda systems of fractional order (2013)
  12. El-Khazali, Reyad: Fractional-order $PI^\lambda D^\mu$ controller design (2013)
  13. Marinov, Toma; Ramirez, Nelson; Santamaria, Fidel: Fractional Integration Toolbox (2013)
  14. Taskinen, A.; Roinila, T.; Vilkko, M.: Generalized algorithm for estimating non-commensurate fractional-order models (2013)
  15. Das, Saptarshi; Pan, Indranil: Fractional order signal processing. Introductory concepts and applications. (2012)
  16. Si, Gangquan; Sun, Zhiyong; Zhang, Yanbin; Chen, Wenquan: Projective synchronization of different fractional-order chaotic systems with non-identical orders (2012)
  17. Petráš, Ivo: Modeling and numerical analysis of fractional-order Bloch equations (2011)
  18. Petráš, Ivo: Chaos in the fractional-order Volta’s system: modeling and simulation (2009)
  19. Efe, Mehmet Önder; Kasnako\~glu, Coṣku: A fractional adaptation law for sliding mode control (2008)