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Prediction-based adaptive control of a class of discrete-time nonlinear systems with nonlinear growth rate

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Abstract

Adaptive control of discrete-time parametric-strict-feedback nonlinear systems will be studied in this paper. To the best knowledge of the authors, almost all of the existing results for such systems need Lipschitz condition. The main purpose of this paper is to take a step towards nonlinear growth rate for second-order systems. The control law is designed based on least squares (LS) algorithms and on recursive adaptive predictors. Global stability and tracking performance are established for the closed-loop systems.

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Authors and Affiliations

  1. School of Automation Science and Electrical Engineer, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Wei Chen & Chen ZongJi

Authors
  1. Wei Chen
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  2. Chen ZongJi
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Corresponding author

Correspondence to Wei Chen.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 60204010 and 60474499) and the Aviation Foundation of China (Grant No. 00E51083)

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Chen, W., ZongJi, C. Prediction-based adaptive control of a class of discrete-time nonlinear systems with nonlinear growth rate. Sci. China Ser. F-Inf. Sci. 51, 524–534 (2008). https://doi.org/10.1007/s11432-008-0012-6

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  • DOI: https://doi.org/10.1007/s11432-008-0012-6

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