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Prescribed performance tracking control for high-order uncertain nonlinear systems

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Abstract

This paper considers the problem of prescribed performance tracking control for a class of high-order uncertain nonlinear systems with time-varying external disturbances. Using a little of priori system knowledge, a state feedback controller is designed capable of guaranteeing the prescribed performance requirements of the output tracking error, regarding the steady-state error, the convergence rate and the maximum overshoot. Compared with traditional backstepping-like approaches, no approximation techniques and hard numerical calculations are employed in the controller design. Thus, the proposed control scheme exhibits low complexity and strong robustness against system uncertainties. The effectiveness of the proposed scheme is verified by some simulation results.

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The simulation data that support the findings of this study are available within the article.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61973198) and the Research Fund for the Taishan Scholar Project of Shandong Province of China.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Jiling Ding & Weihai Zhang

  2. College of Mathematics and Computer Application Technology, Jining University, Qufu, 273155, China

    Jiling Ding

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  1. Jiling Ding
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Correspondence to Weihai Zhang.

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Ding, J., Zhang, W. Prescribed performance tracking control for high-order uncertain nonlinear systems. Nonlinear Dyn 111, 14199–14212 (2023). https://doi.org/10.1007/s11071-023-08604-6

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