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<p>To understand nonlinear oscillation characteristics of a large flexible sailcraft is a basic task for performing space missions since orbital motion is determined by its attitude dynamics, specially, the orientation with respect to the sun line. The orientation will be influenced by its elasticity of the structure and vice versa, thus nonlinear coupled attitude-vibration dynamical analysis deserves studying in depth. To address the aforementioned issues, this paper investigates nonlinear dynamics and its control of a large flexible sailcraft subjected to the solar pressure torque, especially focuses on the potential nonlinear internal resonance between the pitch motion and transverse vibration and chaotic pitch motion caused by internal resonance. For studying this interesting phenomenon in detail, nonlinear coupled attitude-vibration dynamics of a flexible sailcraft experiencing pitch motion is established using Lagrange equation method adopting the first two order vibration mode coordinates and the pitch angle of the sailcraft as the generalized coordinates. A gimbaled control boom is utilized for adjusting the pitch motion of the sail actively. The dynamic response of the system under various parameters is analyzed, revealing that internal resonance caused by pitch attitude motion frequency being in a 1:1 ratio with the transverse vibration frequency may induce chaotic phenomena near the stable points of the unperturbed pitch motion, thereby affecting the attitude stability of a sailcraft. To address the attitude stabilization of the sailcraft, a pitch controller considering the angle saturation of the control boom based on Sliding Mode Control (SMC) and Nonlinear Extended State Observer (NLESO) is developed to suppress the chaotic attitude motion caused by structural vibration, and its effectiveness is verified through numerical simulation. The research results provide theoretical and technical support for the chaotic attitude motion and its stability analysis, and the chaotic attitude control of a flexible sailcraft.</p>

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Nonlinear Chaotic Pitch Dynamics and Its Stablization of a Large Flexible Sailcraft

  • 期刊论文

  • 发表日期：

    2025年8月2日

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  • Jiafu Liu,
  • Ranxi Li,
  • Yuhe Duan,
  • Junwei Luo,
  • Lu Liu,
  • Weiwei Wang

摘要

To understand nonlinear oscillation characteristics of a large flexible sailcraft is a basic task for performing space missions since orbital motion is determined by its attitude dynamics, specially, the orientation with respect to the sun line. The orientation will be influenced by its elasticity of the structure and vice versa, thus nonlinear coupled attitude-vibration dynamical analysis deserves studying in depth. To address the aforementioned issues, this paper investigates nonlinear dynamics and its control of a large flexible sailcraft subjected to the solar pressure torque, especially focuses on the potential nonlinear internal resonance between the pitch motion and transverse vibration and chaotic pitch motion caused by internal resonance. For studying this interesting phenomenon in detail, nonlinear coupled attitude-vibration dynamics of a flexible sailcraft experiencing pitch motion is established using Lagrange equation method adopting the first two order vibration mode coordinates and the pitch angle of the sailcraft as the generalized coordinates. A gimbaled control boom is utilized for adjusting the pitch motion of the sail actively. The dynamic response of the system under various parameters is analyzed, revealing that internal resonance caused by pitch attitude motion frequency being in a 1:1 ratio with the transverse vibration frequency may induce chaotic phenomena near the stable points of the unperturbed pitch motion, thereby affecting the attitude stability of a sailcraft. To address the attitude stabilization of the sailcraft, a pitch controller considering the angle saturation of the control boom based on Sliding Mode Control (SMC) and Nonlinear Extended State Observer (NLESO) is developed to suppress the chaotic attitude motion caused by structural vibration, and its effectiveness is verified through numerical simulation. The research results provide theoretical and technical support for the chaotic attitude motion and its stability analysis, and the chaotic attitude control of a flexible sailcraft.