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Event-triggered finite-time fuzzy control approach for fractional-order nonlinear chaotic systems with input delay

Author

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  • Lin, Funing
  • Xue, Guangming
  • Qin, Bin
  • Li, Shenggang
  • Liu, Heng

Abstract

In this paper, a novel fuzzy event-triggered control approach with guaranteed performance of practical finite-time tracking convergence is constructed for uncertain fractional-order nonlinear chaotic systems in the presence of time-varying input delay. Firstly, fuzzy logic systems are employed to deal with immeasurable systematic information. Secondly, fractional-order command filters are incorporated to circumvent the problem of “complexity explosion” in backstepping controller construction. Meanwhile, a sequence of fractional-order finite-time compensation signals are introduced to counteract the adverse influence of time-varying input delay rapidly. Furthermore, a novel practical finite-time chaos control approach based on event-triggered strategy is proposed, which not only facilitates the decrease of sampling frequency and controller burden dynamically, but also ensures the convergence of all tracking errors towards a small region around the origin in finite time. Finally, through the simulation research, the transient response performance and the chaos-suppression ability of fractional-order chaotic systems stabilized via the suggested approach are rigorously testified.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009372
    DOI: 10.1016/j.chaos.2023.114036
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    References listed on IDEAS

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    1. 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.
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    3. 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).
    4. Saravanakumar, Ramasamy & Datta, Rupak & Cao, Yang, 2022. "New insights on fuzzy sampled-data stabilization of delayed nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    5. Li, Jiayan & Cao, Jinde & Liu, Heng, 2022. "State observer-based fuzzy echo state network sliding mode control for uncertain strict-feedback chaotic systems without backstepping," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. Bukhari, Ayaz Hussain & Shoaib, Muhammad & Kiani, Adiqa Kausar & Chaudhary, Naveed Ishtiaq & Raja, Muhammad Asif Zahoor & Shu, Chi-Min, 2023. "Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 213(C), pages 324-347.
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