Coupled systems mechanics

  • 제13권1호
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  • Pages.73-93
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  • 2024
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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Time varying LQR-based optimal control of geometrically exact Reissner's beam model

  • Suljo Ljukovac (University of Technology Compiegne-Alliance Sorbonne University, Laboratoire Roberval, Centre de Recherche Royallieu) ;
  • Adnan Ibrahimbegovic (University of Technology Compiegne-Alliance Sorbonne University, Laboratoire Roberval, Centre de Recherche Royallieu) ;
  • Maida Cohodar-Husic (Faculty of Mechanical Engineering, University of Sarajevo)
  • 투고 : 2023.11.14
  • 심사 : 2023.11.21
  • 발행 : 2024.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.

키워드

과제정보

This work was supported by the French Research Agency, ANR - Project MS3C and by IUF-Institut Universitaire de France (for AI) and a scholarship from the French Ministry MEAE (for SLj). All the support is gratefully acknowledged.

참고문헌

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