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Prescribed Finite-Time Adaptive Fuzzy Control via Output Feedback for Output-constrained Nonlinear Systems

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Abstract

A new and efficient output-feedback adaptive backstepping control strategy is developed to realize a finite-time output tracking control task for nonlinear output-constrained systems. The main characteristic of this strategy is to construct an asymmetric barrier Lyapunov function based on the performance functions and error variable to achieve finite-time tracking control. Because the system states are unknown, fuzzy state observer is set up to reconstruct the system states. Consequently, an observer-based fuzzy adaptive output-feedback controller is presented. The proposed control strategy ensures that the output tracking error meets the preassigned precision level throughout a pre-given time period, meanwhile, the output variable complies with time-varying restrictions for all time and other closed-loop signals are bounded. Lastly, two examples are employed for numerical simulation research to reveal the feasibility and availability of the developed control strategy.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants 61873137 and Shandong Taishan Scholar Project ts20190930.

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Author notes

  1. Bing Chen and Chong Lin have contributed equally to this work.

Authors and Affiliations

  1. Institute of Complexity Science, Qingdao University, Ningxia Road, Qingdao, 266071, Shan Dong, China

    Xu Yuan, Bing Chen & Chong Lin

  2. Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Ningxia Road, Qingdao, 266071, Shan Dong, China

    Xu Yuan, Bing Chen & Chong Lin

Authors
  1. Xu Yuan
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  2. Bing Chen
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  3. Chong Lin
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Corresponding author

Correspondence to Bing Chen.

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Yuan, X., Chen, B. & Lin, C. Prescribed Finite-Time Adaptive Fuzzy Control via Output Feedback for Output-constrained Nonlinear Systems. Int. J. Fuzzy Syst. 25, 1055–1068 (2023). https://doi.org/10.1007/s40815-022-01422-9

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  • DOI: https://doi.org/10.1007/s40815-022-01422-9

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