Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone

Hong-Yun Yue Jun-Min Li

Hong-Yun Yue, Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2012, 9(5): 545-554. doi: 10.1007/s11633-012-0678-5
引用本文: Hong-Yun Yue, Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2012, 9(5): 545-554. doi: 10.1007/s11633-012-0678-5
Hong-Yun Yue and Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone. International Journal of Automation and Computing, vol. 9, no. 5, pp. 545-554, 2012 doi:  10.1007/s11633-012-0678-5
Citation: Hong-Yun Yue and Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone. International Journal of Automation and Computing, vol. 9, no. 5, pp. 545-554, 2012 doi:  10.1007/s11633-012-0678-5

Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone

doi: 10.1007/s11633-012-0678-5
基金项目: 

This work was partially supported by National Natural Science Foundation of China (Nos.60974139 and 60804021) and Fundamental Research Funds for the Central Universities (No.72103676).

Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone

Funds: 

This work was partially supported by National Natural Science Foundation of China (Nos.60974139 and 60804021) and Fundamental Research Funds for the Central Universities (No.72103676).

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    Corresponding author: Hong-Yun Yue
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出版历程
  • 收稿日期:  2011-08-27
  • 修回日期:  2011-12-13
  • 刊出日期:  2012-10-20

Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone

doi: 10.1007/s11633-012-0678-5
    基金项目:

    This work was partially supported by National Natural Science Foundation of China (Nos.60974139 and 60804021) and Fundamental Research Funds for the Central Universities (No.72103676).

摘要: In this paper, adaptive dynamic surface control (DSC) is developed for a class of nonlinear systems with unknown discrete and distributed time-varying delays and unknown dead-zone. Fuzzy logic systems are used to approximate the unknown nonlinear functions. Then, by combining the backstepping technique and the appropriate Lyapunov-Krasovskii functionals with the dynamic surface control approach, the adaptive fuzzy tracking controller is designed. Our development is able to eliminate the problem of explosion of complexity inherent in the existing backstepping-based methods. The main advantages of our approach include: 1) for the n-th-order nonlinear systems, only one parameter needs to be adjusted online in the controller design procedure, which reduces the computation burden greatly. Moreover, the input of the dead-zone with only one adjusted parameter is much simpler than the ones in the existing results; 2) the proposed control scheme does not need to know the time delays and their upper bounds. It is proven that the proposed design method is able to guarantee that all the signals in the closed-loop system are bounded and the tracking error is smaller than a prescribed error bound, Finally, simulation results demonstrate the effectiveness of the proposed approach.

English Abstract

Hong-Yun Yue, Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2012, 9(5): 545-554. doi: 10.1007/s11633-012-0678-5
引用本文: Hong-Yun Yue, Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2012, 9(5): 545-554. doi: 10.1007/s11633-012-0678-5
Hong-Yun Yue and Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone. International Journal of Automation and Computing, vol. 9, no. 5, pp. 545-554, 2012 doi:  10.1007/s11633-012-0678-5
Citation: Hong-Yun Yue and Jun-Min Li. Adaptive Fuzzy Dynamic Surface Control for a Class of Perturbed Nonlinear Time-varying Delay Systems with Unknown Dead-zone. International Journal of Automation and Computing, vol. 9, no. 5, pp. 545-554, 2012 doi:  10.1007/s11633-012-0678-5
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