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Robust adaptive state feedback sliding-mode control of memristor-based Chua’s systems with input nonlinearity

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  • Xue, Yanmei
  • Zheng, Bo-Chao
  • Li, Tao
  • Li, Yuanlu

Abstract

This paper deals with the state feedback stabilization of a class of uncertain memristor-based Chua’s circuit systems. By the combination of the characteristics of the memristor, the system model of the uncertain memristive Chua’s circuit with input nonlinearity is built. Under the assumption that the gain reduction parameter of the input nonlinearity is unknown a prior, the robust adaptive sliding-mode control (SMC) schemes are proposed to ensure that the system trajectory of the uncertain memristive Chua’s circuit can be driven into the sliding surface and subsequently sliding into the origin. Finally, the effectiveness of the proposed method is verified via simulation.

Suggested Citation

  • Xue, Yanmei & Zheng, Bo-Chao & Li, Tao & Li, Yuanlu, 2017. "Robust adaptive state feedback sliding-mode control of memristor-based Chua’s systems with input nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 142-153.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:142-153
    DOI: 10.1016/j.amc.2017.07.015
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    References listed on IDEAS

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    4. Ran, Suzhen & Xue, Yanmei & Zheng, Bo-Chao & Wang, Zhenyou, 2017. "Quantized feedback fuzzy sliding mode control design via memory-based strategy," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 283-295.
    5. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    6. Jiang, Baoping & Gao, Cunchen & Kao, Yonggui & Liu, Zhen, 2016. "Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 66-79.
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    Cited by:

    1. Ijaz, Salman & Fuyang, Chen & Hamayun, Mirza Tariq & Anwaar, Haris, 2021. "Adaptive integral-sliding-mode control strategy for maneuvering control of F16 aircraft subject to aerodynamic uncertainty," Applied Mathematics and Computation, Elsevier, vol. 402(C).

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