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Event-Triggered Fuzzy Adaptive Fixed-Time Output-Feedback Control for Nonlinear Systems With Multiple Objective Constraints

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Abstract

This article investigates the fixed-time adaptive fuzzy output-feedback control for nontriangular structural nonlinear systems with multiple objective constraints, where the fuzzy logic systems (FLSs) are employed to construct a state observer to estimate the unavailable states. Firstly, a modified fractional-order filter (FOF) is adopted to handle the issue of singularity inherent in the constraint domain under the backstepping framework. Meanwhile, the error compensation signal is designed to eliminate the negative effect of filter errors. Secondly, a barrier Lyapunov function (BLF) is utilized to accommodate the multiple objective constraints. Furthermore, the event-triggered rule with a relative threshold is constructed to neutralize the communication burden. Following the fixed-time stability criterion, it is demonstrated that the proposed control scheme not only ensures that the tracking error is adjusted to a residual set within a fixed time, but also multiple objective functions are confined within the specified range. Finally, a simulation practical example is implemented to confirm the validity and potential of the theoretical results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61976081, 62173159, in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127, in part by the Natural Science Fund for Young Scholars of Henan Province under Grant 222300420151, and in part by Key Scientific Research Projects of Higher Education Institutions in Henan Province under Grant 22A413001.

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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, Kaiyuan Avenu, Luoyang, 471023, Henan, China

    Xiaona Song, Peng Sun, Shuai Song & Qingtao Wu

  2. School of Electrical and Automation Engineering, Nanjing Normal University, Xuelin Street, Nanjing, 210042, Jiangsu, China

    Junwei Lu

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  1. Xiaona Song
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  2. Peng Sun
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  3. Shuai Song
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Correspondence to Shuai Song.

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Song, X., Sun, P., Song, S. et al. Event-Triggered Fuzzy Adaptive Fixed-Time Output-Feedback Control for Nonlinear Systems With Multiple Objective Constraints. Int. J. Fuzzy Syst. 25, 275–288 (2023). https://doi.org/10.1007/s40815-022-01304-0

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  • DOI: https://doi.org/10.1007/s40815-022-01304-0

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