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Event-triggered adaptive fuzzy tracking control for a class of fractional-order uncertain nonlinear systems with external disturbance

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Listed:
  • You, Xingxing
  • Shi, Mingyang
  • Guo, Bin
  • Zhu, Yuqi
  • Lai, Wuxing
  • Dian, Songyi
  • Liu, Kai

Abstract

In this paper, we are dedicated to addressing the event-triggered adaptive fuzzy tracking control problem for a class of fractional-order nonlinear systems (FONSs) with uncertainty and external disturbance. A novel condition is presented for estimating the fractional derivative of event-triggered strategy measurement error signal. To avoid the “expansion of complexity” problem caused by repeatedly solving the fractional derivatives of the virtual control signals in the backstepping method, an event-triggered-based adaptive fuzzy controller is constructed by taking advantage of the fractional dynamic surface control (DSC) scheme and fractional Lyapunov direct method. The designed controller can not only guarantee the tracking error finally converges to a small neighborhood around the origin, but also ensure all signals included in closed-loop FONSs are semiglobally uniformly ultimate bounded (SUUB) and the Zeno behavior is favorably avoided. In addition, the fuzzy logic systems (FLSs) tend to be applied in estimating the unknown nonlinear function, and an auxiliary function is also adopted to compensate for the approximation error of FLSs and the external disturbance. Finally, a numerical example indicates that the event-triggered adaptive fuzzy controller designed in this paper for FONSs is feasible and effective.

Suggested Citation

  • You, Xingxing & Shi, Mingyang & Guo, Bin & Zhu, Yuqi & Lai, Wuxing & Dian, Songyi & Liu, Kai, 2022. "Event-triggered adaptive fuzzy tracking control for a class of fractional-order uncertain nonlinear systems with external disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922006038
    DOI: 10.1016/j.chaos.2022.112393
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    References listed on IDEAS

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    1. Tao Zhao & Zhenbo Wei, 2016. "On Characterization of Rough Type-2 Fuzzy Sets," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-13, February.
    2. Sharma, Vivek & Shukla, Manoj & Sharma, B.B., 2018. "Unknown input observer design for a class of fractional order nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 96-107.
    3. Yang, Xujun & Li, Chuandong & Huang, Tingwen & Song, Qiankun & Huang, Junjian, 2018. "Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 105-123.
    4. Shukla, Manoj Kumar & Sharma, B.B., 2017. "Backstepping based stabilization and synchronization of a class of fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 274-284.
    5. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    6. Atangana, Abdon & Shafiq, Anum, 2019. "Differential and integral operators with constant fractional order and variable fractional dimension," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 226-243.
    7. 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. Sakthivel, R. & Sweetha, S. & Tatar, N.E. & Panneerselvam, V., 2023. "Delayed reset control design for uncertain fractional-order systems with actuator faults via dynamic output feedback scheme," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Lin, Funing & Xue, Guangming & Qin, Bin & Li, Shenggang & Liu, Heng, 2023. "Event-triggered finite-time fuzzy control approach for fractional-order nonlinear chaotic systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    3. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Pishro, Aboozar & Shahrokhi, Mohammad & Mohit, Mohammaderfan, 2023. "Adaptive neural quantized control for fractional-order full-state constrained non-strict feedback systems subject to input fault and nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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