FOTF Toolbox

FOTF Toolbox. A collection of MATLAB files for fractional calculus and fractional-order control. A companion with the book. Dingyu Xue. Fractional-order Control Systems - Fundamentals and Numerical Implementations. Berlin: de Gruyter, to be published in 2017. Also a standard toolbox for fractional calculus and fractional-order control. (1) High precision algorithms are provided for fractional derivatives and fractional differential equations; (2) Two classes, FOTF and FOSS, are provided to fully support the modelling, analysis and design of multivariable fractional-order systems.


References in zbMATH (referenced in 21 articles )

Showing results 1 to 20 of 21.
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  1. Zhang, Wei; Ni, Jinbo: New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval (2021)
  2. Chen, Liping; Li, Tingting; Wu, Ranchao; Lopes, António M.; Machado, J. A. Tenreiro; Wu, Kehan: Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems (2020)
  3. Zhang, Lichuan; Liu, Lu; Zhang, Shuo: Design, implementation, and validation of robust fractional-order PD controller for wheeled mobile robot trajectory tracking (2020)
  4. Zhang, Shuo; Liu, Lu; Xue, Dingyu: Nyquist-based stability analysis of non-commensurate fractional-order delay systems (2020)
  5. Zhang, Shuo; Liu, Lu; Xue, Dingyu; Chen, YangQuan: Stability and resonance analysis of a general non-commensurate elementary fractional-order system (2020)
  6. Akman Yıldız, Tuğba: Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation (2019)
  7. Bingi, Kishore; Ibrahim, Rosdiazli; Karsiti, Mohd Noh; Hassam, Sabo Miya; Harindran, Vivekananda Rajah: Frequency response based curve fitting approximation of fractional-order PID controllers (2019)
  8. Hinze, Matthias; Schmidt, André; Leine, Remco I.: Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation (2019)
  9. Liu, Lu; Xue, Dingyu; Zhang, Shuo: Closed-loop time response analysis of irrational fractional-order systems with numerical Laplace transform technique (2019)
  10. Liu, Lu; Zhang, Shuo: Fractional-order partial pole assignment for time-delay systems based on resonance and time response criteria analysis (2019)
  11. Petráš, Ivo (ed.): Applications in control (2019)
  12. Tan, Yushun; Xiong, Menghui; Du, Dongsheng; Fei, Shumin: Observer-based robust control for fractional-order nonlinear uncertain systems with input saturation and measurement quantization (2019)
  13. Bouagada, Djillali; Melchior, Samuel; van Dooren, Paul: Calculating the (H_\infty) norm of a fractional system given in state-space form (2018)
  14. Lennart van Duist; Gijs van der Gugten; Daan Toten; Niranjan Saikumar; Hassan HosseinNia: FLOreS - Fractional order loop shaping MATLAB toolbox (2018) arXiv
  15. Li, Penghua; Chen, Liping; Wu, Ranchao; Tenreiro Machado, J. A.; Lopes, António M.; Yuan, Liguo: Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay (2018)
  16. Liu, Lu; Zhang, Shuo: Robust fractional-order PID controller tuning based on Bode’s optimal loop shaping (2018)
  17. 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)
  18. Zhang, Shuo; Liu, Lu: Normalized robust FOPID controller regulation based on small gain theorem (2018)
  19. Xue, Dingyü: Fractional-order control systems. Fundamentals and numerical implementations (2017)
  20. Xue, Dingyü; Bai, Lu: Benchmark problems for Caputo fractional-order ordinary differential equations (2017)

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