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Command-filter-based adaptive tracking control for nonlinear systems with unknown input quantization and mismatching disturbances

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  • Ma, Jiali
  • Park, Ju H.
  • Xu, Shengyuan
  • Cui, Guozeng
  • Yang, Zhichun

Abstract

In this article, the adaptive tracking control problem is investigated for a class of uncertain nonlinear systems with input quantization and mismatching disturbances. The effect of the mismatching disturbances is compensated by introducing smooth functions in the virtual controllers. By combining the novel command filters with backstepping method, an adaptive controller is designed and the problem of ”explosion of complexity” can be solved. It has also been proved that all the signals in the closed-loop systems are bounded and the system output can asymptotically track the reference signal. Finally, simulation examples are provided to verify the effectiveness of the proposed method.

Suggested Citation

  • Ma, Jiali & Park, Ju H. & Xu, Shengyuan & Cui, Guozeng & Yang, Zhichun, 2020. "Command-filter-based adaptive tracking control for nonlinear systems with unknown input quantization and mismatching disturbances," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301302
    DOI: 10.1016/j.amc.2020.125161
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    References listed on IDEAS

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    1. Khan, Wakeel & Lin, Yan & Ullah Khan, Sarmad & Ullah, Nasim, 2018. "Quantized adaptive decentralized control for interconnected nonlinear systems with actuator faults," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 175-189.
    2. Zhang, Yan & Wang, Fang, 2019. "Adaptive neural control of non-strict feedback system with actuator failures and time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Xi, Changjiang & Zhai, Ding & Li, Xiaojian & Zhang, Qingling, 2017. "Decentralized adaptive delay-dependent neural network control for a class of large-scale interconnected nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 148-163.
    4. Zhang, Yanhui & Liang, Hongjing & Ma, Hui & Zhou, Qi & Yu, Zhandong, 2018. "Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 16-32.
    5. Hao Hu & Bin Jiang & Hao Yang, 2016. "A new approach to robust reliable control for uncertain nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1376-1383, April.
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    Cited by:

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    2. Li, Jiahao & Liu, Yu & Yu, Jinyong, 2022. "A new result on semi-synchronous event-triggered backstepping robust control for a class of non-Lipschitzian networked systems," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    3. Zhao, Guangtong & Cao, Liang & Li, Xiaomeng & Zhou, Qi, 2022. "Observer-based dynamic event-triggered control for nonstrict-feedback stochastic nonlinear multiagent systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).

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