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The global sliding mode tracking control for a class of variable order fractional differential systems

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  • Jiang, Jingfei
  • Chen, Huatao
  • Cao, Dengqing
  • Guirao, Juan LG

Abstract

In this paper, a novel variable order fractional control approach is proposed for tracking control of both of variable order fractional and constant order fractional order system with uncertain and external disturbance terms. In term of the global sliding mode control theory and terminal sliding mode control method, the system states are guaranteed to stay on the switching surface from the initial time, and then converge to the origin by the designed controllers which are continuous input signals. Such controllers avoid the undesirable chattering and remove the effects of uncertain and external disturbance completely. Finally, the comparison between the variable order fraction controller and the constant order fractional controller is given by numerical simulation, furthermore, numerical results on the effects of the tracking control are provided.

Suggested Citation

  • Jiang, Jingfei & Chen, Huatao & Cao, Dengqing & Guirao, Juan LG, 2022. "The global sliding mode tracking control for a class of variable order fractional differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921010286
    DOI: 10.1016/j.chaos.2021.111674
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    References listed on IDEAS

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    1. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
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    Cited by:

    1. Xiaodong Lv & Guangming Zhang & Gang Wang & Mingxiang Zhu & Zhihan Shi & Zhiqing Bai & Igor V. Alexandrov, 2022. "Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object," Mathematics, MDPI, vol. 10(16), pages 1-35, August.
    2. Xie, Jiaquan & Zhao, Fuqiang & He, Dongping & Shi, Wei, 2022. "Bifurcation and resonance of fractional cubic nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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