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Suspension nonlinear analysis and VSS-LMS adaptive filtering control of satellite borne flexible structure

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Abstract

Satellite borne flexible structure is a multi-degree-of-freedom system, which contains complex dynamic characteristics such as time-varying parameters, geometric nonlinearity, gap nonlinearity, and so on. Flexible structure suspension typically results in geometric nonlinearity. The oscillation equation with nonlinear term is established according to the law of motion of a nonlinear pendulum and considering the influence of medium swing angle and lateral force. The perturbation approach is used to get the relationship between vibration frequency and the nonlinear term, and the impact of factors on vibration characteristics is investigated. The satellite borne flexible structure’s active vibration control (AVC) system is then established. Considering proportional differential (PD) or fuzzy control adjustment, variable step size least mean square (VSS-LMS) adaptive filtering algorithm is used to calculate the control signal, and considering the influence of geometric nonlinearity, the actuator is used to suppress the vibration of the satellite borne flexible structure. Finally, the vibration response’s amplitude under steady-state excitation significantly decreases as an outcome of the vibration control simulation.

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Funding

This work is supported by the Ministry of Education Chunhui Program Cooperative Research Project of China (No. HZKY20220517) and Natural Science Basic Research Plan in Shaanxi Province of China (No. 2022JQ-021).

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Authors and Affiliations

  1. School of Mechatronic Engineering, Xi’an Technological University, Xi’an, 710021, China

    Guoliang Ma, Nyasha Chirukamare Brighton & Mahato Anish

  2. Institute of Systems, Information Technologies and Nanotechnologies, Fukuoka, 814-0388, Japan

    Pangpang Wang

  3. Shool of Science, Harbin Institute of Technology, Shenzhen, 518055, China

    Liqun Chen

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  1. Guoliang Ma
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Correspondence to Guoliang Ma.

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Ma, G., Wang, P., Chen, L. et al. Suspension nonlinear analysis and VSS-LMS adaptive filtering control of satellite borne flexible structure. Nonlinear Dyn 112, 3679–3693 (2024). https://doi.org/10.1007/s11071-023-09222-y

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  • DOI: https://doi.org/10.1007/s11071-023-09222-y

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