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Observer based control for a tree-shaped network of Timoshenko beams using Lyapunov’s method

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Abstract

This paper addresses the robust output regulation of a tree-shaped network of Timoshenko beams, where disturbances and references have all the coefficients unknown and are generated from an exosystem with unknown initial values. Observer based robust controls are designed based on two active disturbance rejection controls (ADRCs) in two cases: (I) the beam system is considered under the special and known disturbances and references; (II) the beam system is considered under the unknown and arbitrary signals from an exosystem. The above ADRCs are transformed into the same robust controls, by using the observers to introduce internal model structure. For the Timoshenko beam systems, observer based tracking error feedback controls are proposed to guarantee that three transverse displacements are regulated to track prescribed references. A simulation example is provided to show the effectiveness of the robust output regulation.

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Acknowledgements

This paper was supported by the National Natural Science Foundation of China (Grant no.: 62103038,62173031), the China National Postdoctoral Program for Innovative Talents (Grant no.: BX2021032), the China Postdoctoral Science Foundation (Grant no.: 2020M680351), the Science, Technology & Innovation Project of Xiongan New Area (Grant no.: 2023XAGG0062) and the Interdisciplinary Research Project for Young Teachers of USTB (Fundamental Research Funds for the Central Universities) (Grant no.: FRF-IDRY-22-029).

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Authors and Affiliations

  1. School of Intelligence Science and Technology, University of Science and Technology Beijing, Xueyuan Road, Beijing, 100083, China

    Tingting Meng, Xiangfu Zeng, Xiaoyang Wu & Qiang Fu

  2. Institute of Artificial Intelligence, University of Science and Technology Beijing, Xueyuan Road, Beijing, 100083, China

    Tingting Meng, Xiangfu Zeng, Xiaoyang Wu & Qiang Fu

  3. Key Laboratory of Intelligent Bionic Unmanned Systems, Ministry of Education, University of Science and Technology Beijing, Xueyuan Road, Beijing, 100083, China

    Tingting Meng, Xiangfu Zeng, Xiaoyang Wu & Qiang Fu

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  1. Tingting Meng
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  2. Xiangfu Zeng
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Correspondence to Qiang Fu.

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Meng, T., Zeng, X., Wu, X. et al. Observer based control for a tree-shaped network of Timoshenko beams using Lyapunov’s method. Nonlinear Dyn 111, 22303–22321 (2023). https://doi.org/10.1007/s11071-023-09029-x

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