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Predefined-time adaptive fault tolerant anti-synchronization control for unified chaotic system with unknown actuator faults

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  • Zhai, Junchang
  • Qin, Yuping

Abstract

The issue of predefined-time chaos anti-synchronization of unified chaotic systems with unknown actuator faults and unknown parameter is investigated in this paper. Adaptive technique is employed to approximate the unknown parameter and a new piecewise function method is presented to cope with the singularity issue in the derivation of virtual controller. By exploiting adaptive auxiliary signals to handle unknown actuator faults such that the actual controller can be properly constructed without using the prior knowledge of time-varying fault parameters. Based on Lyapunov stability theory and adaptive backstepping technique, an adaptive fault tolerant anti-synchronization control scheme is given, such that the error signals can converge to the stability region in predefined time. The simulations show the validity of the presented method.

Suggested Citation

  • Zhai, Junchang & Qin, Yuping, 2026. "Predefined-time adaptive fault tolerant anti-synchronization control for unified chaotic system with unknown actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925017187
    DOI: 10.1016/j.chaos.2025.117705
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    1. Shukla, Manoj Kumar & Sharma, B.B., 2017. "Stabilization of a class of fractional order chaotic systems via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 56-62.
    2. 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.
    3. Mahmoud, Emad E. & Abo-Dahab, S.M., 2018. "Dynamical properties and complex anti synchronization with applications to secure communications for a novel chaotic complex nonlinear model," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 273-284.
    4. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Ma, Jiawei & Zhang, Huaguang & Zhang, Juan & Wang, Le, 2024. "Event-based predefined-time anti-synchronization for unified chaotic systems and the application to Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    6. Peng, Chao-Chung & Chen, Chieh-Li, 2008. "Robust chaotic control of Lorenz system by backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 598-608.
    7. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    8. Guo, Pengteng & Shi, Qiqing & Jian, Zeng & Zhang, Jing & Ding, Qun & Yan, Wenhao, 2024. "An intelligent controller of homo-structured chaotic systems under noisy conditions and applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    9. Shirkavand, Mehrdad & Pourgholi, Mahdi, 2018. "Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 135-147.
    10. Alsaade, Fawaz W. & Yao, Qijia & Bekiros, Stelios & Al-zahrani, Mohammed S. & Alzahrani, Ali S. & Jahanshahi, Hadi, 2022. "Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    11. Park, Ju H., 2006. "Synchronization of Genesio chaotic system via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1369-1375.
    12. Sahoo, Shilalipi & Nathasarma, Rahash & Roy, Binoy Krishna, 2024. "Time-synchronized predefined-time synchronization between two non-identical chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    13. Tzouganakis, Panteleimon & Gakos, Vasilios & Papalexis, Christos & Kalligeros, Christos & Tsolakis, Antonios & Spitas, Vasilios, 2024. "Chaotic behaviour in the dynamical response of coaxial magnetic gears during acceleration," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    14. Singh, Piyush Pratap & Singh, Jay Prakash & Roy, B.K., 2014. "Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 31-39.
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