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Fixed-time adaptive fuzzy SOSM controller design with output constraint

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Abstract

A fixed-time adaptive fuzzy second-order sliding mode (SOSM) approach has been designed to handle the problem of nonlinear systems with output constraints. According to the advantages of using fuzzy logic systems, the unknown bounds of uncertainties can be approached dynamically. The problem of output constraints has been well handled by constructing a barrier Lyapunov function. Next, with the help of adding a power integrator technique and adaptive fuzzy control, a fixed-time adaptive fuzzy SOSM controller is designed for the considered systems. In addition to the above, the controller can not only promote the sliding variables to converge to the origin in fixed time, but also stabilize the variables in the constrained range. In other words, under the proposed method, the systems can be stable in a specified time no matter how the initial value changes. Lastly, a numerical example is used to verify the performance of the proposed SOSM control tactic.

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The authors declare that the data supporting the results of this study are available within the article.

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Acknowledgements

The study was supported in part by the National Natural Science Foundation of China under Grant 61973142 and Grant 62203188, in part by the Natural Science Foundation of Jiangsu Province under Grant BK20220517, in part by China Postdoctoral Science Foundation under Grant 2022M721386, in part by the Fundamental Research Funds for the Central Universities under Grant 2242022k30038, in part by the Jiangsu Province and Education Ministry Co-sponsored Synergistic Innovation Center of Modern Agricultural Equipment under Grant XTCX2015, and in part by the Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University under Grant MCCSE2022A02.

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China

    Xin Li, Li Ma, Keqi Mei & Shihong Ding

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University, Nanjing, 210096, China

    Keqi Mei

  3. School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China

    Tianhong Pan

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  1. Xin Li
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  2. Li Ma
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Correspondence to Keqi Mei or Shihong Ding.

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Li, X., Ma, L., Mei, K. et al. Fixed-time adaptive fuzzy SOSM controller design with output constraint. Neural Comput & Applic 35, 9893–9905 (2023). https://doi.org/10.1007/s00521-023-08224-6

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  • DOI: https://doi.org/10.1007/s00521-023-08224-6

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