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Fuzzy optimal control for nonlinear systems with time-varying delay via sampled-data controller

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Abstract

This work is devoted to a fuzzy sampled-data optimal control problem for nonlinear systems with time-varying delay in Takagi–Sugeno fuzzy form. Based on the Lyapunov–Krasovskii functional theory, some novel stability criteria are established. A fuzzy sampled-data controller is developed to ensure that the fuzzy closed-loop sampled-data control system is asymptotically stable and the guaranteed cost performance is also minimized. It is shown that the obtained results are less conservative in the stability analysis. Two examples of the computer-simulated truck-trailer system and the continuous stirred tank reactor system are provided to show the effectiveness and the merits of the proposed design.

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Acknowledgements

This work was supported by the Key Program of the National Natural Science Foundation of China (11,632,008), the National Natural Science Foundation of China (11872189) and the Natural Science Foundation of Shandong Province (ZR2017MF019).

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China

    Zifang Qu & Zhengdi Zhang

  2. School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, 264005, Shandong, China

    Zifang Qu

  3. School of Computer and Control Engineering, Yantai University, Yantai, 264005, Shandong, China

    Zhenbin Du

  4. School of Engineering, University of California Merced, Merced, CA, 95340, USA

    Tiebiao Zhao

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  1. Zifang Qu
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  2. Zhengdi Zhang
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  3. Zhenbin Du
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  4. Tiebiao Zhao
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Correspondence to Zhengdi Zhang or Zhenbin Du.

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Qu, Z., Zhang, Z., Du, Z. et al. Fuzzy optimal control for nonlinear systems with time-varying delay via sampled-data controller. Soft Comput 24, 14743–14755 (2020). https://doi.org/10.1007/s00500-020-04827-6

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  • DOI: https://doi.org/10.1007/s00500-020-04827-6

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