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Adaptive command filtered fixed-time control of nonlinear systems with input quantization

Author

Listed:
  • Xu, Bo
  • Liang, Yanjun
  • Li, Yuan-Xin
  • Hou, Zhongsheng

Abstract

In this paper, the fixed-time adaptive tracking control issues of the nonlinear systems with input quantization are considered. By designing a common adaptive parameter, the over-parameterization problem of the most existing results is resolved. Based on command filter and backstepping technique, the fixed-time adaptive tracking control can be first realized. In addition, we adopt the Nussbaum-type function to deal with the quantized input. The fuzzy logic systems are utilized to approximate the unknown nonlinearlities. Moreover, it can be concluded that the proposed method can guarantee the stability of the controlled system and the boundedness of the whole signals. At last, simulation examples are employed to verify the availability of the presented scheme.

Suggested Citation

  • Xu, Bo & Liang, Yanjun & Li, Yuan-Xin & Hou, Zhongsheng, 2022. "Adaptive command filtered fixed-time control of nonlinear systems with input quantization," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    • Handle: RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002600
    DOI: 10.1016/j.amc.2022.127186
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    References listed on IDEAS

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    1. 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.
    2. Zhao, Shiyi & Pan, Yingnan & Du, Peihao & Liang, Hongjing, 2020. "Adaptive control for non-affine nonlinear systems with input saturation and output dead zone," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    3. Wang, Yuanqing & Xu, Ning & Liu, Yajuan & Zhao, Xudong, 2021. "Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Jiao, Shiyu & Shen, Hao & Wei, Yunliang & Huang, Xia & Wang, Zhen, 2018. "Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 338-350.
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    Citations

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    Cited by:

    1. Qi, Xiaojing & Xu, Shengyuan, 2025. "Event-triggered sampling-based singularity-free fixed-time control for nonlinear systems subject to input saturation and unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    2. Gao, Yu & Sun, Wei & Su, Shun-Feng, 2024. "Prescribed-time adaptive output feedback tracking control for nonlinear systems with quantized input," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    3. Cui, Guozeng & Xu, Hui & Yu, Jinpeng & Ma, Jiali & Li, Ze, 2023. "Fixed-time distributed adaptive attitude control for multiple QUAVs with quantized input," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    4. Wu, Jie & Yang, Rongni & Kovacs, Levente & Shi, Peng, 2025. "Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    5. Zhai, Junchang & Wang, Huanqing & Qin, Yuping & Cui, Hongxia, 2025. "Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 486(C).

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